Under The Spell Of The Gauge Principle

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Under The Spell Of The Gauge Principle

Author : Gerard 'T Hooft
Publisher : World Scientific
Page : 697 pages
File Size : 44,9 Mb
Release : 1994-08-26
Category : Science
ISBN : 9789814504508

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Under The Spell Of The Gauge Principle by Gerard 'T Hooft Pdf

Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight — together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).

Under the Spell of the Gauge Principle

Author : G. 't Hooft
Publisher : World Scientific
Page : 700 pages
File Size : 45,9 Mb
Release : 1994
Category : Science
ISBN : 9810213093

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Under the Spell of the Gauge Principle by G. 't Hooft Pdf

Few people studying Gauge Field Theory need to be convinced of the importance of the work of 't Hooft. This volume contains a selection of articles and review topics covering his well-known studies on the renormalization of non-Abelian gauge theorems, topological phenomena in gauge field theory and thoughts on the role of black holes in quantum gravity.The chapters are tied together by thoughtful commentaries which provide a background and the illumination of hindsight ? together they form a clear and coherent picture of the physical and theoretical importance of gauge theories and the gauge principle. This book is ideal for students and researchers.Gerard 't Hooft is Professor of Theoretical Physics at the University of Utrecht, The Netherlands. He has taught at Harvard, SLAC and Caltech prior to his present position. Other distinguished honors include being awarded the Dannie Heineman Prize, the Honorary Doctorate of Science from the University of Chicago, Wolf Prize of the State of Israel, Pius XI Medal (Vatican), and the Lorentz Medal (KNAW, Amsterdam).

Quantum Field Theory III: Gauge Theory

Author : Eberhard Zeidler
Publisher : Springer Science & Business Media
Page : 1141 pages
File Size : 43,7 Mb
Release : 2011-08-17
Category : Mathematics
ISBN : 9783642224218

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Quantum Field Theory III: Gauge Theory by Eberhard Zeidler Pdf

In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction. Volume III concentrates on the classical aspects of gauge theory, describing the four fundamental forces by the curvature of appropriate fiber bundles. This must be supplemented by the crucial, but elusive quantization procedure. The book is arranged in four sections, devoted to realizing the universal principle force equals curvature: Part I: The Euclidean Manifold as a Paradigm Part II: Ariadne's Thread in Gauge Theory Part III: Einstein's Theory of Special Relativity Part IV: Ariadne's Thread in Cohomology For students of mathematics the book is designed to demonstrate that detailed knowledge of the physical background helps to reveal interesting interrelationships among diverse mathematical topics. Physics students will be exposed to a fairly advanced mathematics, beyond the level covered in the typical physics curriculum. Quantum Field Theory builds a bridge between mathematicians and physicists, based on challenging questions about the fundamental forces in the universe (macrocosmos), and in the world of elementary particles (microcosmos).

ITEP Lectures on Particle Physics and Field Theory

Author : Mikhail A. Shifman
Publisher : World Scientific
Page : 522 pages
File Size : 47,5 Mb
Release : 1999
Category : Field theory
ISBN : 9810239483

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ITEP Lectures on Particle Physics and Field Theory by Mikhail A. Shifman Pdf

An Invitation to Quantum Field Theory

Author : Luis Alvarez-Gaumé,Miguel A. Vázquez-Mozo
Publisher : Springer
Page : 299 pages
File Size : 51,9 Mb
Release : 2011-11-25
Category : Science
ISBN : 9783642237287

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An Invitation to Quantum Field Theory by Luis Alvarez-Gaumé,Miguel A. Vázquez-Mozo Pdf

This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.

50 Years of Yang-Mills Theory

Author : G. 't Hooft
Publisher : World Scientific
Page : 498 pages
File Size : 48,7 Mb
Release : 2005
Category : Science
ISBN : 9789812389343

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

The Roman Catholic faith has inspired some of the world's greatest creative works and has been a powerful force in history from the Roman Empire to the present. Catholic writers reflect their heritage in their works, and generations of readers have continued to appreciate the Catholic literary tradition. Many works by Catholic writers hold a high place in the literary canon and have exerted a tremendous cultural and political influence. Still others continue to be widely read by contemporary readers and quietly shape modern society. Some works, too, reflect the conflicts of the Catholic Church in the 21st century and capture the struggles of individual Catholics in a secular society. This encyclopedia covers the vast riches of the Catholic literary tradition from its origins to the present day. Included are substantial entries on more than 70 major works from around the world. A special effort has been made to cover women writers and writers of diverse racial and ethnic backgrounds, whose works reflect the many dimensions of the Catholic experience. The encyclopedia provides entries on such writers and works as St. Augustine's Confessions, Catherine of Siena's Dialogue, Dante's The Divine Comedy, Sandra Cisneros' The House on Mango Street, J.R.R. Tolkien's The Lord of the Rings, and Muriel Spark's Memento Mori. Each entry is written by an expert contributor and includes a biography of the writer, a plot summary of a major work, an extended critical discussion, an overview of the work's critical reception, and a selected bibliography. The entries give detailed attention to particular works and explore their relation to Catholic thought. The encyclopedia concludes with a selected, general bibliography.

Quantum Field Theory in a Nutshell

Author : A. Zee
Publisher : Princeton University Press
Page : 608 pages
File Size : 40,9 Mb
Release : 2010-02-01
Category : Science
ISBN : 9781400835324

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Quantum Field Theory in a Nutshell by A. Zee Pdf

A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University

Quantum Field Theory

Author : V. P. Nair
Publisher : Springer Science & Business Media
Page : 560 pages
File Size : 42,8 Mb
Release : 2006-03-30
Category : Science
ISBN : 9780387250984

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Quantum Field Theory by V. P. Nair Pdf

Quantum field theory, which started with Paul Dirac’s work shortly after the discovery of quantum mechanics, has produced an impressive and important array of results. Quantum electrodynamics, with its extremely accurate and well-tested predictions, and the standard model of electroweak and chromodynamic (nuclear) forces are examples of successful theories. Field theory has also been applied to a variety of phenomena in condensed matter physics, including superconductivity, superfluidity and the quantum Hall effect. The concept of the renormalization group has given us a new perspective on field theory in general and on critical phenomena in particular. At this stage, a strong case can be made that quantum field theory is the mathematical and intellectual framework for describing and understanding all physical phenomena, except possibly for a quantum theory of gravity. Quantum Field Theory: A Modern Perspective presents Professor Nair’s view of certain topics in field theory loosely knit together as it grew out of courses on field theory and particle physics taught at Columbia University and the City College of CUNY. The first few chapters, up to Chapter 12, contain material that generally goes into any course on quantum field theory, although there are a few nuances of presentation which readers may find to be different from other books. This first part of the book can be used for a general course on field theory, omitting, perhaps, the last three sections in Chapter 3, the last two in Chapter 8 and sections 6 and 7 in Chapter 10. The remaining chapters cover some of the more modern developments over the last three decades, involving topological and geometrical features. The introduction given to the mathematical basis of this part of the discussion is necessarily brief and should be accompanied by books on the relevant mathematical topics as indicated in the bibliography. Professor Nair also concentrates on developments pertinent to a better understanding of the standard model. There is no discussion of supersymmetry, supergravity, developments in field theory inspired by string theory, etc. There is also no detailed discussion of the renormalization group. Each of these topics would require a book in its own right to do justice to the topic. Quantum Field Theory: A Modern Perspective serves as a portal to so many more topics of detailed and ongoing research, referring readers to more detailed treatments for many specific topics. The book also contains extensive references, providing readers a more comprehensive perspective on the literature and the historical development of the subject. V. Parameswaran Nair is Professor of Physics at City College of The City University of New York (CUNY). Professor Nair has held Visiting Professorships at The Abdus Salam International Center for Theoretical Physics, Rockefeller University, Institute for Advanced Study at Princeton, and Massachusetts Institute of Technology.

Advanced Topics in Quantum Field Theory

Author : M. Shifman
Publisher : Cambridge University Press
Page : 641 pages
File Size : 45,9 Mb
Release : 2012-01-19
Category : Science
ISBN : 9781139501880

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Advanced Topics in Quantum Field Theory by M. Shifman Pdf

Since the advent of Yang–Mills theories and supersymmetry in the 1970s, quantum field theory - the basis of the modern description of physical phenomena at the fundamental level - has undergone revolutionary developments. This is the first systematic and comprehensive text devoted specifically to modern field theory, bringing readers to the cutting edge of current research. The book emphasizes nonperturbative phenomena and supersymmetry. It includes a thorough discussion of various phases of gauge theories, extended objects and their quantization, and global supersymmetry from a modern perspective. Featuring extensive cross-referencing from traditional topics to recent breakthroughs in the field, it prepares students for independent research. The side boxes summarizing the main results and over 70 exercises make this an indispensable book for graduate students and researchers in theoretical physics.

Advanced Topics in Quantum Field Theory

Author : Mikhail Shifman
Publisher : Cambridge University Press
Page : 739 pages
File Size : 43,9 Mb
Release : 2022-04-28
Category : Science
ISBN : 9781108840422

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Advanced Topics in Quantum Field Theory by Mikhail Shifman Pdf

The Second Edition of this systematic, comprehensive text is revised to include topics developed in the last decade. A new final part presents more than 90 problems with detailed solutions, making this an indispensable book for graduate students and researchers in theoretical physics.

Theory and Phenomenology of Sparticles

Author : Manuel Drees,Rohini Godbole,Probir Roy
Publisher : World Scientific
Page : 584 pages
File Size : 53,6 Mb
Release : 2005-01-18
Category : Science
ISBN : 9789814495349

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Theory and Phenomenology of Sparticles by Manuel Drees,Rohini Godbole,Probir Roy Pdf

Supersymmetry or SUSY, one of the most beautiful recent ideas of physics, predicts sparticles existing as superpartners of particles. This book gives a theoretical and phenomenological account of sparticles. Starting from a basic level, it provides a comprehensive, pedagogical and user-friendly treatment of the subject of four-dimensional N=1 supersymmetry as well as its observational aspects in high energy physics and cosmology. Part One of the book introduces the requisite formal theory, preceded by a discussion of the naturalness problem. Part Two describes the supersymmetrization of the Standard Model of particle interactions as well as the origin of soft supersymmetry breaking and how it can be mediated from higher energies. Search strategies for sparticles, supersymmetric Higgs bosons, nonminimal scenarios and cosmological implications are some of the other topics covered. Novel features of the book include a dictionary between two-component and four-component spinor notation, a step-by-step derivation of the nonrenormalization theorem, an extended discussion of supersymmetric renormalization group evolution, detailed analyses of minimal and nonminimal models with gravity (including anomaly) mediated and gauge mediated supersymmetry breaking as well as elaborate self-contained presentations of collider signals of sparticles plus supersymmetric Higgs bosons and of supersymmetric cosmology. Appendices list all Feynman rules for the vertices of the Minimal Supersymmetric Standard Model. Contents:Introduction and Overview:Supersymmetry: Why and HowSupersymmetry Formalism:PreliminariesAlgebraic AspectsFree Superfields in SuperspaceInteracting SuperfieldsSuperspace Perturbation Theory and SupergraphsGeneral Aspects of Supersymmetry BreakingSupersymmetry Phenomenology:Basic Structure of the MSSMSoft Supersymmetry Breaking in the MSSMHiggs Bosons in the MSSMEvolution from Very High EnergiesGravity Mediated Supersymmetry BreakingGauge Mediated Supersymmetry BreakingBeyond the MSSMSupersymmetry at CollidersSupersymmetric CosmologyConclusion: Wish List, Roadmap and Fine Tuning Readership: Graduate students, teachers and researchers in theoretical as well as experimental high energy physics. Keywords:Reviews: “I find the book very attractive and very useful at this time. There are not so many up-to-date books for the LHC phenomenology.” G Altarelli CERN “It seeks to be the complete primer on supersymmetry for the theorist, phenomenologist and experimentalist. The presentation is lucid throughout and the notation is well-chosen. This is a highly recommended book for the student of particle physics who has studied the basics of quantum field theory and the phenomenon of the known elementary particles. In addition, it is a handy source of information (and most valuably, explanations) for senior students and practicing physicists in other areas, who will increasingly feel the need to know about the area of fundamental science most finely poised for a dramatic experimental breakthrough.” Current Science “… very informative book on supersymmetric particles …” Professor Barry Barish California Institute of Technology “Very good text. Although suitable for those who want to begin working in the field, nonexperts can get substantial insights into the goals and motivation behind the theory by browsing through. The book begins with a good pedagogical treatment of the superspace formalism and ends with an extensive summary of Feynman rules. About 300 pages cover the phenomenology of supersymmetry — from colliders to dark matter — with significant discussion of supersymmetry breaking and a 30-page chapter on supersymmetric Higgs bosons.” Physics Today

Mathematical Physics 2000

Author : A Fokas,A Grigoryan,T Kibble,B Zegarlinski
Publisher : World Scientific
Page : 336 pages
File Size : 45,7 Mb
Release : 2000-05-05
Category : Science
ISBN : 9781783261710

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Mathematical Physics 2000 by A Fokas,A Grigoryan,T Kibble,B Zegarlinski Pdf

Mathematical physics has made enormous strides over the past few decades, with the emergence of many new disciplines and with revolutionary advances in old disciplines. One of the especially interesting features is the link between developments in mathematical physics and in pure mathematics. Many of the exciting advances in mathematics owe their origin to mathematical physics — superstring theory, for example, has led to remarkable progress in geometry — while very pure mathematics, such as number theory, has found unexpected applications. The beginning of a new millennium is an appropriate time to survey the present state of the field and look forward to likely advances in the future. In this book, leading experts give personal views on their subjects and on the wider field of mathematical physics. The topics covered range widely over the whole field, from quantum field theory to turbulence, from the classical three-body problem to non-equilibrium statistical mechanics. Contents: Modern Mathematical Physics: What It Should Be (L D Faddeev)New Applications of the Chiral Anomaly (J Fröhlich & B Pedrini)Fluctuations and Entropy Driven Space–Time Intermittency in Navier–Stokes Fluids (G Gallavotti)Superstrings and the Unification of the Physical Forces (M B Green)Questions in Quantum Physics: A Personal View (R Haag)What Good are Quantum Field Theory Infinities? (R Jackiw)Constructive Quantum Field Theory (A Jaffe)Fourier's Law: A Challenge to Theorists (F Bonetto et al.)The “Corpuscular” Structure of the Spectra of Operators Describing Large Systems (R A Minlos)Vortex- and Magneto-Dynamics — A Topological Perspective (H K Moffatt)Gauge Theory: The Gentle Revolution (L O'Raifeartaigh)Random Matrices as Paradigm (L Pastur)Wavefunction Collapse as a Real Gravitational Effect (R Penrose)Schrödinger Operators in the Twenty-First Century (B Simon)The Classical Three-Body Problem — Where is Abstract Mathematics, Physical Intuition, Computational Physics Most Powerful? (H A Posch & W Thirring)Infinite Particle Systems and Their Scaling Limits (S R S Varadhan)Supersymmetry: A Personal View (B Zumino) Readership: Mathematicians and physicists. Keywords:London (GB);Proceedings;Congress;Mathematical Physics

The Quantum Theory of Fields

Author : Steven Weinberg
Publisher : Cambridge University Press
Page : 510 pages
File Size : 52,9 Mb
Release : 1995
Category : Science
ISBN : 0521550025

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The Quantum Theory of Fields by Steven Weinberg Pdf

A comprehensive introduction to quantum field theory by Nobel Laureate Steven Weinberg, first published in 1996.

The Quantum Theory of Fields: Volume 2, Modern Applications

Author : Steven Weinberg
Publisher : Cambridge University Press
Page : 524 pages
File Size : 51,7 Mb
Release : 1996-08-13
Category : Science
ISBN : 9781139643252

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The Quantum Theory of Fields: Volume 2, Modern Applications by Steven Weinberg Pdf

The Quantum Theory of Fields, first published in 1996, is a self-contained, comprehensive introduction to quantum field theory from Nobel Laureate Steven Weinberg. Volume II gives an account of the methods of quantum field theory, and how they have led to an understanding of the weak, strong, and electromagnetic interactions of the elementary particles. The presentation of modern mathematical methods is throughout interwoven with accounts of the problems of elementary particle physics and condensed matter physics to which they have been applied. Many topics are included that are not usually found in books on quantum field theory. The book is peppered with examples and insights from the author's experience as a leader of elementary particle physics. Exercises are included at the end of each chapter.

Nonlinear Evolution Equations and Dynamical Systems

Author : Yi Cheng
Publisher : World Scientific
Page : 204 pages
File Size : 53,6 Mb
Release : 2003
Category : Mathematics
ISBN : 9812795367

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Nonlinear Evolution Equations and Dynamical Systems by Yi Cheng Pdf

Fast-paced economic growth in Southeast Asia from the late 1960s until the mid-1990s brought increased attention to the overseas Chinese as an economically successful diaspora and their role in this economic growth. Events that followed, such as the transfer of Hong Kong and Macau to the People's Republic of China, the election of a non-KMT government in Taiwan, the Asian economic crisis and the plight of overseas Chinese in Indonesia as a result, and the durability of the Singapore economy during this same crisis, have helped to sustain this attention. The study of the overseas Chinese has by now become a global enterprise, raising new theoretical problems and empirical challenges. New case studies of overseas Chinese, such as those on communities in North America, Cuba, India, and South Africa, continually unveil different perspectives. New kinds of transnational connectivities linking Chinese communities are also being identified. It is now possible to make broader generalizations of a Chinese diaspora, on a global basis. Further, the intensifying study of the overseas Chinese has stimulated renewed intellectual vigor in other areas of research. The transnational and transregional activities of overseas Chinese, for example, pose serious challenges to analytical concepts of regional divides such as that between East and Southeast Asia. Despite the increased attention, new data, and the changing theoretical paradigms, basic questions concerning the overseas Chinese remain. The papers in this volume seek to understand the overseas Chinese migrants not just in terms of the overall Chinese diaspora per se, but also local Chinese migrants adapting to local societies, in different national contexts.