50 Years Of Yang Mills Theory

Author : Gerardus 't Hooft
Publisher : World Scientific
Page : 500 pages
File Size : 52,6 Mb
Release : 2005-02-11
Category : Science
ISBN : 9789814482196

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50 Years of Yang-Mills Theory by Gerardus 't Hooft Pdf

' On the 50th anniversary of Yang-Mills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea. During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics. An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authors' perspectives. The distinguished contributors are: S Adler, F A Bais, C Becchi, M Creutz, A De Rújula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, A Polyakov, V N Popov, R Stora, P van Baal, P van Nieuwenhuizen, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G 't Hooft, who is himself a major player in the development of Yang-Mills theory. Contents:Quantizing Gauge Field TheoriesGhosts for PhysicistsBreaking the SymmetryTowards the Standard ModelRenormalizationAnomaliesAsymptotic FreedomMagnetic MonopolesQuark Confinement and StringsFixing in Gauge Condition Non-PerturbativelyThe LatticeFermions on the LatticeConfrontation with ExperimentSupersymmetry and SupergravityPhysics of the 21st Century Readership: All physicists and mathematicians. Keywords:Yang-Mills Theory;Quantum Field Theory;Quantum Chromodynamics (QCD);Elementary Particles;Lattice Field Theory;Solitons;Instantons;Gauge TheoryReviews: “50 Years of Yang-Mills Theory edited by Gerardus 't Hooft is both delightful and deep. It begins with pages written in March 1947 by C N Yang, when he was a graduate student at the University of Chicago. The 1967 Popov and Faddeev Kiev Report is reproduced in translation and the Englert paper on broken symmetry and Yang-Mills Theory appears. 't Hooft's deep insights put the papers into context and I'm sure that I can continually learn more by revisiting this volume.” Professor Gerry Brown SUNY, Stony Brook “This book provides an excellent historical survey of the development of Yang-Mills theory, written by those most involved in its creation. It also has valuable comments on the present situation, so that it will be useful for current research.” Sir Michael Atiyah Fields Medalist and Honorary Professor of Mathematics University of Edinburgh “This is a fascinating compilation celebrating the golden jubilee of Yang-Mills theory. The wide range of articles by leading experts on the many aspects of the subject are a reminder of how influential this development has been … One of the most interesting contributions is an early paper of Faddeev and Popov on the development of perturbation theory for Yang-Mills and gravitational fields, a paper not readily available because they had difficulty publishing it. Another intriguing paper exploring a little-known byway is Stora's, relating gauge-fixing to the algebraic apparatus known as Koszul complexes … Other highlights include Bais on magnetic monopoles and Witten on gauge-string duality. The book will be of great interest to theorists and experimenters in many fields.” Professor Tom Kibble Imperial College London “The book is an excellent collection of important articles about the upcoming of gauge theories, which have turned out to be essential for the theoretical description of our universe.” Professor Dr. Harald Fritzsch University of Munich “It was a brilliant idea to signal the 50th birthday of Yang-Mills theory by gathering together a wide range of articles by leading experts on many aspects of the subject. The result is a most handsome tribute of both historical and current interest, and a substantial addition to the existing literature …This unusual and elegant festschrift is a treat for theorists.” CERN Courier '

Author : G. 't Hooft
Publisher : World Scientific
Page : 498 pages
File Size : 55,7 Mb
Release : 2005
Category : Science
ISBN : 9789812567147

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50 Years of Yang-Mills Theory by G. 't Hooft Pdf

On the 50th anniversary of YangOCoMills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea. During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics. An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authorsOCO perspectives. The distinguished contributors are: S Adler, F A Bais, C Becchi, M Creutz, A De Rjula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, A Polyakov, V N Popov, R Stora, P van Baal, P van Nieuwenhuizen, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G OCOt Hooft, who is himself a major player in the development of Yang-Mills theory."

Author : L Brink,K K Phua
Publisher : World Scientific
Page : 540 pages
File Size : 43,6 Mb
Release : 2016-04-21
Category : Science
ISBN : 9789814725576

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60 Years of YangCMills Gauge Field Theories by L Brink,K K Phua Pdf

During the last six decades, Yang–Mills theory has increasingly become the cornerstone of theoretical physics. It is seemingly the only fully consistent relativistic quantum many-body theory in four space-time dimensions. As such it is the underlying theoretical framework for the Standard Model of Particle Physics, which has been shown to be the correct theory at the energies we now can measure. It has been investigated also from many other perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics. The conference celebrated the exceptional achievements using Yang–Mills theory over the years but also many other truly remarkable contributions to different branches of physics from Prof C N Yang. This volume collects the invaluable talks by Prof C N Yang and the invited speakers reviewing these remarkable contributions and their importance for the future of physics. Contents:The Future of Physics — Revisited (C N Yang)Quantum Chromodynamics — The Perfect Yang–Mills Gauge Field Theory (David Gross)Maximally Supersymmetric Yang–Mills Theory: The Story of N = 4 Yang–Mills Theory (Lars Brink)The Lattice and Quantized Yang–Mills Theory (Michael Creutz)Yang–Mills Theories at High Energy Accelerators (George Sterman)Yang–Mills Theory at 60: Milestones, Landmarks and Interesting Questions (Ling-Lie Chau)Discovery of the First Yang–Mills Gauge Particle — The Gluon (Sau Lan Wu)Yang–Mills Gauge Theory and Higgs Particle (Tai Tsun Wu & Sau Lan Wu)Scenario for the Renormalization in the 4D Yang–Mills Theory (L D Faddeev)Statistical Physics in the Oeuvre of Chen Ning Yang (Michael E Fisher)Quantum Vorticity in Nature (Kerson Huang)Yang–Mills Theory and Fermionic Path Integrals (Kazuo Fujikawa)Yang–Mills Gauge Theory and the Higgs Boson Family (Ngee-Pong Chang)On the Physics of the Minimal Length: The Questions of Gauge Invariance (Lay Nam Chang, Djordje Minic, Ahmed Roman, Chen Sun & Tatsu Takeuchi)Generalization of the Yang–Mills Theory (G Savvidy)Some Thoughts about Yang–Mills Theory (A Zee)Gauging Quantum Groups: Yang–Baxter Joining Yang–Mills (Yong-Shi Wu)The Framed Standard Model (I) — A Physics Case for Framing the Yang–Mills Theory? (Chan Hong-Mo & Tsou Sheung Tsun)The Framed Standard Model (II) — A First Test Against Experiment (Chan Hong-Mo & Tsou Sheung Tsun)On the Study of the Higgs Properties at a Muon Collider (Mario Greco)Aharonov–Bohm Types of Phases in Maxwell and Yang–Mills Field Theories (Bruce H J McKellar)Yang–Mills for Historians and Philosophers (R P Crease)Gauge Concepts in Theoretical Applied Physics (Seng Ghee Tan & Mansoor B A Jalil)Yang–Yang Equilibrium Statistical Mechanics: A Brilliant Method (Xi-Wen Guan & Yang-Yang Chen)Chern–Simons Theory, Vassiliev Invariants, Loop Quantum Gravity and Functional Integration Without Integration (Louis H Kauffman)The Scattering Equations and Their Off-Shell Extension (York-Peng Yao)Feynman Geometries (Sen Hu & Andrey Losev)Particle Accelerator Development: Selected Examples (Jie Wei)A New Storage-Ring Light Source (Alex Chao)New Contributions to Physics by Prof C N Yang: 2009–2011 (Zhong-Qi Ma)Brief Overview of C N Yang's 13 Important Contributions to Physics (Yu Shi) Readership: Graduate students and scientists working in high energy physics, statistical physics and condensed matter physics.

Author : Antti Niemi,Alfred Shapere,Kok Khoo Phua
Publisher : World Scientific
Page : 352 pages
File Size : 41,5 Mb
Release : 2022-03-18
Category : Science
ISBN : 9789811255182

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Frank Wilczek: 50 Years Of Theoretical Physics by Antti Niemi,Alfred Shapere,Kok Khoo Phua Pdf

Frank Wilczek is one of the foremost theoretical physicists of the past half-century. He has made several fundamental contributions that shape our understanding of high energy physics, cosmology, condensed matter physics, and statistical physics. In all these fields his many discoveries continue to play a key role in shaping the direction of modern theoretical physics.Among Wilczek's major achievements is the discovery of asymptotic freedom, which predicts and explains the ultraviolet behavior of non-abelian gauge theories. The axion, which he co-discovered and named, has emerged as the prevalent candidate for explaining the origin of dark matter in the Universe. His invention of color-flavor locking explains chiral symmetry breaking in high density quantum chromodynamics. His introduction of fractional statistics and anyons are pivotal to our understanding of the fractional quantum Hall effect and form the building blocks of topological quantum computing. His invention of the time crystal concept has catalyzed extensive investigations of dynamical phases of physical systems.Frank Wilczek received the 2004 Nobel Prize in Physics for the discovery of asymptotic freedom. He is also the recipient of several Prizes and honorary awards including the MacArthur Fellowship, the Lorentz Medal of the Royal Netherlands Academy of Arts and Sciences, the Lilienfeld Prize of the American Physical Society, the High Energy and Particle Physics Prize of the European Physical Society, and the King Faisal International Prize for Science of the King Faisal Foundation. He is a member of the National Academy of Sciences, American Academy of Arts and Sciences, and the American Philosophical Society. He is also a foreign member of the Royal Netherlands Academy of Arts and Sciences and of the Royal Academy of Sciences in Sweden.He is currently the Herman Feshbach Professor of Physics at MIT Center for Theoretical Physics. He also holds a professorship at Stockholm University, is a Distinguished Professor at Arizona State University, and is the founding director of the Tsung-Dao Lee Institute and Chief Scientist of the Wilczek Quantum Center at Shanghai Jiao Tong University.This volume serves as a tribute to Frank Wilczek's legendary scientific contributions, commemorating his 70th birthday and the first 50 years of his career as a theoretical physicist. The contributors include several of his PhD students, close collaborators, and both past and present colleagues.

Author : Ralf Hofmann
Publisher : World Scientific
Page : 544 pages
File Size : 50,9 Mb
Release : 2016-04-11
Category : Science
ISBN : 9789813100503

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The Thermodynamics of Quantum YangCMills Theory by Ralf Hofmann Pdf

This latest edition enhances the material of the first edition with a derivation of the value of the action for each of the Harrington–Shepard calorons/anticalorons that are relevant for the emergence of the thermal ground state. Also included are discussions of the caloron center versus its periphery, the role of the thermal ground state in U(1) wave propagation, photonic particle–wave duality, and calculational intricacies and book-keeping related to one-loop scattering of massless modes in the deconfining phase of an SU(2) Yang–Mills theory. Moreover, a derivation of the temperature–redshift relation of the CMB in deconfining SU(2) Yang–Mills thermodynamics and its application to explaining an apparent early re-ionization of the Universe are given. Finally, a mechanism of mass generation for cosmic neutrinos is proposed. Contents: Theory:The Classical Yang–Mills ActionThe Perturbative Approach at Zero TemperatureAspects of Finite-Temperature Field TheorySelfdual Field ConfigurationsThe Deconfining PhaseThe Preconfining PhaseThe Confining PhaseApplications:The Approach of Thermal Lattice Gauge TheoryBlack-Body AnomalyAstrophysical and Cosmological Implications of SU(2)CMB Readership: Advanced students, postdocs and researchers in theoretical physics and mathematics, as well as experimentalists.

Author : Lim Hock,Phua Kok Khoo,Tan Bernard
Publisher : World Scientific
Page : 616 pages
File Size : 50,5 Mb
Release : 2016-12-12
Category : Science
ISBN : 9789813140912

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50 Years Of Science In Singapore by Lim Hock,Phua Kok Khoo,Tan Bernard Pdf

As part of the commemorative book series on Singapore's 50 years of nation-building, this important compendium traces the history and development of the various sectors of Singapore science in the last 50 years or so. The book covers the government agencies responsible for science funding and research policy, the academic institutions and departments who have been in the forefront of the development of the nation's scientific manpower and research, the research centres and institutes which have been breaking new ground in both basic and applied science research, science museums and education, and the academic and professional institutions which the scientific community has set up to enable Singapore scientists to serve the nation more effectively. Each article is chronicled by eminent authors who have played important roles and made significant contributions in shaping today's achievement of science in Singapore. Professionals, academics, students and the general public will find this volume a useful reference material and an inspirational easy read.

Author : Kurt Sundermeyer
Publisher : Springer
Page : 806 pages
File Size : 43,8 Mb
Release : 2014-07-23
Category : Science
ISBN : 9783319065816

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Symmetries in Fundamental Physics by Kurt Sundermeyer Pdf

Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals. Her work did not receive due recognition for nearly half a century, but can today be understood as a recurring theme in classical mechanics, electrodynamics and special relativity, Yang-Mills type quantum field theories, and in general relativity. As a matter of fact, as shown in this monograph, many aspects of physics can be derived solely from symmetry considerations. This substantiates the statement of E.P. Wigner "... if we knew all the laws of nature, or the ultimate Law of nature, the invariance properties of these laws would not furnish us new information." Thanks to Wigner we now also understand the implications of quantum physics and symmetry considerations: Poincare invariance dictates both the characteristic properties of particles (mass, spin, ...) and the wave equations of spin 0, 1/2, 1, ... objects. Further, the work of C.N. Yang and R. Mills reveals the consequences of internal symmetries as exemplified in the symmetry group of elementary particle physics. Given this pivotal role of symmetries it is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry. The treatment of symmetries in this monograph ranges from classical physics to now well-established theories of fundamental interactions, to the latest research on unified theories and quantum gravity.

Author : Robert S. Doran,Greg Friedman,Jonathan R_osenberg
Publisher : American Mathematical Soc.
Page : 265 pages
File Size : 48,8 Mb
Release : 2010-10-13
Category : Mathematics
ISBN : 9780821848876

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Superstrings, Geometry, Topology, and $C^*$-algebras by Robert S. Doran,Greg Friedman,Jonathan R_osenberg Pdf

This volume contains the proceedings of an NSF-CBMS Conference held at Texas Christian University in Fort Worth, Texas, May 18-22, 2009. The papers, written especially for this volume by well-known mathematicians and mathematical physicists, are an outgrowth of the talks presented at the conference. Topics examined are highly interdisciplinary and include, among many other things, recent results on D-brane charges in $K$-homology and twisted $K$-homology, Yang-Mills gauge theory and connections with non-commutative geometry, Landau-Ginzburg models, $C^*$-algebraic non-commutative geometry and ties to quantum physics and topology, the rational homotopy type of the group of unitary elements in an Azumaya algebra, and functoriality properties in the theory of $C^*$-crossed products and fixed point algebras for proper actions. An introduction, written by Jonathan Rosenberg, provides an instructive overview describing common themes and how the various papers in the volume are interrelated and fit together. The rich diversity of papers appearing in the volume demonstrates the current interplay between superstring theory, geometry/topology, and non-commutative geometry. The book will be of interest to graduate students, mathematicians, mathematical physicists, and researchers working in these areas.

Author : Gian Francesco Giudice
Publisher : Oxford University Press
Page : 283 pages
File Size : 47,8 Mb
Release : 2010
Category : Science
ISBN : 9780199581917

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A Zeptospace Odyssey: A Journey Into the Physics of the LHC by Gian Francesco Giudice Pdf

This book aims to provide a guide for understanding and following the discoveries that will take place within the next few years at the Large Hadron Collider project at CERN.

Author : Daniele C. Struppa,Jeffrey M. Tollaksen
Publisher : Springer Science & Business Media
Page : 402 pages
File Size : 46,9 Mb
Release : 2013-09-12
Category : Science
ISBN : 9788847052178

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Quantum Theory: A Two-Time Success Story by Daniele C. Struppa,Jeffrey M. Tollaksen Pdf

Yakir Aharonov is one of the leading figures in the foundations of quantum physics. His contributions range from the celebrated Aharonov-Bohm effect (1959), to the more recent theory of weak measurements (whose experimental confirmations were recently ranked as the two most important results of physics in 2011). This volume will contain 27 original articles, contributed by the most important names in quantum physics, in honor of Aharonov's 80-th birthday. Sections include "Quantum mechanics and reality," with contributions from Nobel Laureates David Gross and Sir Anthony Leggett and Yakir Aharonov, S. Popescu and J. Tollaksen; "Building blocks of Nature" with contributions from Francois Englert (co-proposer of the scalar boson along with Peter Higgs); "Time and Cosmology" with contributions from Leonard Susskind, P.C.W. Davies and James Hartle; "Universe as a Wavefunction," with contributions from Phil Pearle, Sean Carroll and David Albert; "Nonlocality," with contributions from Nicolas Gisin, Daniel Rohrlich, Ray Chiao and Lev Vaidman; and finishing with multiple sections on weak values with contributions from A. Jordan, A. Botero, A.D. Parks, L. Johansen, F. Colombo, I. Sabadini, D.C. Struppa, M.V. Berry, B. Reznik, N. Turok, G.A.D. Briggs, Y. Gefen, P. Kwiat, and A. Pines, among others.

Author : Daniel Grumiller,Anton Rebhan,Dimitri Vassilevich
Publisher : World Scientific
Page : 422 pages
File Size : 46,5 Mb
Release : 2010
Category : Science
ISBN : 9789814273077

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Fundamental Interactions by Daniel Grumiller,Anton Rebhan,Dimitri Vassilevich Pdf

This memorial volume on the work of Wolfgang Kummer brings together articles devoted to the history of high energy physics with detailed coverage on the scientific concepts and scientific institutions, in particular CERN ? and the underlying physics involved. Covering recent advances and developments as well as giving a reminiscent overview in two rapidly evolving fields of high energy/particle physics, and gravitational physics, the commemorative volume contains more than 20 original invited paper contributions ? which will appear for the first time in print ? from eminent and renowned physicists who interacted and collaborated with Wolfgang Kummer, including Physics Nobel Laureate Jack Steinberger. Wolfgang Kummer was president of the CERN council from 1985 to 1987, among his numerous eminent academic and administrative positions which he held during his illustrious career. This volume also aims to demonstrate and highlight Wolfgang Kummer's significant contribution to the foundational work in gauge field theory, particle physics, and quantum gravity, and the tremendous impact leading to cutting-edge findings and advances at LHC.

Author : Alexei L. Rebenko
Publisher : Walter de Gruyter
Page : 588 pages
File Size : 41,8 Mb
Release : 2012-07-04
Category : Mathematics
ISBN : 9783110250633

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Theory of Interacting Quantum Fields by Alexei L. Rebenko Pdf

This monograph is devoted to the systematic presentation of foundations of the quantum field theory. Unlike numerous monographs devoted to this topic, a wide range of problems covered in this book are accompanied by their sufficiently clear interpretations and applications. An important significant feature of this monograph is the desire of the author to present mathematical problems of the quantum field theory with regard to new methods of the constructive and Euclidean field theory that appeared in the last thirty years of the 20th century and are based on the rigorous mathematical apparatus of functional analysis, the theory of operators, and the theory of generalized functions. The monograph is useful for students, post-graduate students, and young scientists who desire to understand not only the formality of construction of the quantum field theory but also its essence and connection with the classical mechanics, relativistic classical field theory, quantum mechanics, group theory, and the theory of path integral formalism.

Author : C. H. Oh
Publisher : World Scientific
Page : 581 pages
File Size : 43,7 Mb
Release : 2008-12-12
Category : Science
ISBN : 9789812794185

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Statistical Physics, High Energy, Condensed Matter and Mathematical Physics by C. H. Oh Pdf

The Conference on Statistical Physics, High Energy, Condensed Matter and Mathematical Physics was held in honor of Professor Chen-Ning Yang''s 85th birthday in Singapore in OctOCoNov 2007. The conference paid tribute to the breadth and depth of Professor Yang''s achievements in physics and science education since he received his Nobel Prize in Physics fifty years ago."

Author : Cécile DeWitt-Morette
Publisher : Springer Science & Business Media
Page : 161 pages
File Size : 43,9 Mb
Release : 2011-02-15
Category : Science
ISBN : 9783642142703

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The Pursuit of Quantum Gravity by Cécile DeWitt-Morette Pdf

1946 is the year Bryce DeWitt entered Harvard graduate school. Quantum Gravity was his goal and remained his goal throughout his lifetime until the very end. The pursuit of Quantum Gravity requires a profound understanding of Quantum Physics and Gravitation Physics. As G. A. Vilkovisky commented , "Quantum Gravity is a combination of two words, and one should know both. Bryce understood this as nobody else, and this wisdom is completely unknown to many authors of the flux of papers that we see nowadays." Distingished physicist Cecile DeWitt-Morette skillfully blends her personal and scientific account with a wealth of her late husband's often unpublished writings on the subject matter. This volume, through the perspective of the leading researcher on quantum gravity of his generation, will provide an invaluable source of reference for anyone working in the field.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 45,5 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9789814480130

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Selected Papers (1945?1980) of Chen Ning Yang by Anonim Pdf