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From Current Algebra to Quantum Chromodynamics by Tian Yu Cao Pdf
The advent of quantum chromodynamics (QCD) in the early 1970s was one of the most important events in twentieth-century science. This book examines the conceptual steps that were crucial to the rise of QCD, placing them in historical context against the background of debates that were ongoing between the bootstrap approach and composite modeling, and between mathematical and realistic conceptions of quarks. It explains the origins of QCD in current algebra and its development through high-energy experiments, model-building, mathematical analysis and conceptual synthesis. Addressing a range of complex physical, philosophical and historiographical issues in detail, this book will interest graduate students and researchers in physics and in the history and philosophy of science.
From Current Algebra to Quantum Chromodynamics by Tian Yu Cao Pdf
The advent of quantum chromodynamics (QCD) in the early 1970s was one of the most important events in twentieth-century science. This book examines the conceptual steps that were crucial to the rise of QCD, placing them in historical context against the background of debates that were ongoing between the bootstrap approach and composite modeling, and between mathematical and realistic conceptions of quarks. It explains the origins of QCD in current algebra and its development through high-energy experiments, model-building, mathematical analysis and conceptual synthesis. Addressing a range of complex physical, philosophical and historiographical issues in detail, this book will interest graduate students and researchers in physics and in the history and philosophy of science.
Current Algebra And Anomalies by Edward Witten,Roman Jackiw,S Treiman,B Zumino Pdf
Contents:Current Algebra and PCAC (S Treiman)Field Theoretic Investigations in Current Algebra and Topological Investigations in Quantum Gauge Theories (R Jackiw)Chiral Anomalies and Differential Geometry (B Zumino)Consistent and Covariant Anomalies in Gauge and Gravitational Anomalies (W Bardeen & B Sumino)An SU(2) Anomaly, Global Aspects of Current Algebra and Skyrmion and QCD (E'Witten)Gravitational Anomalies (L Alvarez-Gaumé & E Witten) Readership: Particle physicists.
Current Algebras and Groups by Jouko Mickelsson Pdf
Let M be a smooth manifold and G a Lie group. In this book we shall study infinite-dimensional Lie algebras associated both to the group Map(M, G) of smooth mappings from M to G and to the group of dif feomorphisms of M. In the former case the Lie algebra of the group is the algebra Mg of smooth mappings from M to the Lie algebra gof G. In the latter case the Lie algebra is the algebra Vect M of smooth vector fields on M. However, it turns out that in many applications to field theory and statistical physics one must deal with certain extensions of the above mentioned Lie algebras. In the simplest case M is the unit circle SI, G is a simple finite dimensional Lie group and the central extension of Map( SI, g) is an affine Kac-Moody algebra. The highest weight theory of finite dimensional Lie algebras can be extended to the case of an affine Lie algebra. The important point is that Map(Sl, g) can be split to positive and negative Fourier modes and the finite-dimensional piece g corre sponding to the zero mode.
Quantum Chromodynamics Sum Rules by Cesareo A. Dominguez Pdf
This concise book provides the necessary background to allow interested readers to launch original research projects on the subject matter. Currently, this material is not available from one single source, and is either spread out over numerous journal publications, or covered in long and technical monographs. At the core of this book lies the sum rule approach to obtain analytic results in Quantum Chromodynamics (QCD), the current theory of strong interactions among quarks and gluons. This method fully complements Lattice QCD, the corresponding computational approach based on discretizing QCD on a space-time lattice. Applications include standard determinations of hadronic particle properties with extensions to finite temperature and density, and possibly involving the presence of extreme magnetic fields. The latter cases include stellar objects (e.g. neutron stars and magnetars) as well as high-energy proton–proton and heavy-ion collisions. Further topics concern the determination of the fundamental parameters of QCD, e.g. quark masses and the quark–gluon couplings, the hadronic contribution to the anomalous magnetic moment of the muon, and electromagnetic coupling at the the W-boson mass scale.
The Phases of Quantum Chromodynamics by John B. Kogut,Mikhail A. Stephanov Pdf
This book discusses the physical phases of quantum chromodynamics (QCD) in ordinary environments and also in extreme environments of high temperatures and high baryon number. It introduces lattice gauge theory, covering fundamentals and important developments, and emphasises the application of QCD to the study of matter in extreme environments.
Conceptual Foundations of Modern Particle Physics by Robert E Marshak Pdf
For scientific, technological and organizational reasons, the end of World War II (in 1945) saw a rapid acceleration in the tempo of discovery and understanding in nuclear physics, cosmic rays and quantum field theory, which together triggered the birth of modern particle physics. The first fifteen years (1945–60) following the war's end — the “Startup Period” in modern particle physics -witnessed a series of major experimental and theoretical developments that began to define the conceptual contours (non-Abelian internal symmetries, Yang-Mills fields, renormalization group, chirality invariance, baryon-lepton symmetry in weak interactions, spontaneous symmetry breaking) of the quantum field theory of three of the basic interactions in nature (electromagnetic, strong and weak). But it took another fifteen years (1960-75) — the “Heroic Period” in modern particle physics — to unravel the physical content and complete the mathematical formulation of the standard gauge theory of the strong and electroweak interactions among the three generations of quarks and leptons. The impressive accomplishments during the “Heroic Period” were followed by what is called the “period of consolidation and speculation (1975–1990)”, which includes the experimental consolidation of the standard model (SM) through precision tests, theoretical consolidation of SM through the search for more rigorous mathematical solutions to the Yang-Mills-Higgs equations, and speculative theoretical excursions “beyond SM”. Within this historical-conceptual framework, the author — himself a practicing particle theorist for the past fifty years — attempts to trace the highlights in the conceptual evolution of modern particle physics from its early beginnings until the present time. Apart from the first chapter — which sketches a broad overview of the entire field — the remaining nine chapters of the book offer detailed discussions of the major concepts and principles that prevailed and were given wide currency during each of the fifteen-year periods that comprise the history of modern particle physics. Those concepts and principles that contributed only peripherally to the standard model are given less coverage but an attempt is made to inform the reader about such contributions (which may turn out to be significant at a future time) and to suggest references that supply more information. Chapters 2 and 3 of the book cover a range of topics that received dedicated attention during the “Startup Period” although some of the results were not incorporated into the structure of the standard model. Chapters 4-6 constitute the core of the book and try to recapture much of the conceptual excitement of the “Heroic Period”, when quantum flavordynamics (QFD) and quantum chromodynamics (QCD) received their definitive formulation. [It should be emphasized that, throughout the book, logical coherence takes precedence over historical chronology (e.g. some of the precision tests of QFD are discussed in Chapter 6)]. Chapter 7 provides a fairly complete discussion of the chiral gauge anomalies in four dimensions with special application to the standard model (although the larger unification models are also considered). The remaining three chapters of the book (Chapters 7-10) cover concepts and principles that originated primarily during the “Period of Consolidation and Speculation” but, again, this is not a literal statement. Chapters 8 and 9 report on two of the main directions that were pursued to overcome acknowledged deficiencies of the standard model: unification models in Chapter 8 and attempts to account for the existence of precisely three generations of quarks and leptons, primarily by means of preon models, in Chapter 9. The most innovative of the final three chapters of the book is Chapter 10 on topological conservation laws. This last chapter tries to explain the significance of topologically non-trivial solutions in four-dimensional (space-time) particle physics (e.g. 't Hooft-Polyakov monopoles, instantons, sphalerons, global SU(2) anomaly, Wess-Zumino term, etc.) and to reflect on some of the problems that have ensued (e.g. the “strong CP problem” in QCD) from this effort. It turns out that the more felicitous topological applications of field theory are found — as of now — in condensed matter physics; these successful physical applications (to polyacetylene, quantized magnetic flux in type-II low temperature superconductivity, etc.) are discussed in Chapter 10, as a good illustration of the conceptual unity of modern physics. Request Inspection Copy
Foundations of Quantum Chromodynamics by Taizo Muta Pdf
This volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics.
Quantum Chromodynamics by B. L. Ioffe,V. S. Fadin,L. N. Lipatov Pdf
Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL.
Quantum Flavordynamics, Quantum Chromodynamics, and Unified Theories by K.T. Mahanthappa,James Randa Pdf
The Advanced Study Institute on Quantum Flavordynamics, Quantum Chromodynamics and Unified Theories was held on the campus th of the University of Colorado at Boulder from July 9 through July 27th of 1979. There has been a rapid progress in the understanding of weak, electromagnetic and strong interactions and their unification during the past few years. The purpose of the Institute was to have a group of lecturers active in these areas of research give a series of lectures on various aspects of these topics beginning at the elementary level and ending with the up-to-date developments. There were three lecturers, Professors S. Ellis, R. Field and C. H. Llewellyn Smith who covered the different but related aspects of Quantum Chromodynamics. Their lectures were well coordinated, but some overlap was inevitable. Dr. Buras gave two lectures on QCD corrections beyond the leading order. Professor D. Gross covered the nonperturbative aspects and a possible mechanism of quark confinement. At a more phenomenological level, Professor C. De Tar covered the bag models. The subject matter of electro weak interactions was covered by Professor G. Altarelli. Professor J. Wess gave six lectures on supersymmetry and supergravity. All these lectures with the exception of those of Professor D. Gross are incorporated in this volume. The contents of Professor Gross' lectures are available elsewhere and therefore only references and problems are included here. In addition to the above lectures, there were workshop-like discussion sessions.
Quantum Chromodynamics by B. L. Ioffe,V. S. Fadin,L. N. Lipatov Pdf
Aimed at graduate students and researchers in theoretical physics, this book presents the modern theory of strong interaction: quantum chromodynamics (QCD). The book exposes various perturbative and nonperturbative approaches to the theory, including chiral effective theory, the problems of anomalies, vacuum tunnel transitions, and the problem of divergence of the perturbative series. The QCD sum rules approach is exposed in detail. A great variety of hadronic properties (masses of mesons and baryons, magnetic moments, form factors, quark distributions in hadrons, etc.) have been found using this method. The evolution of hadronic structure functions is presented in detail, together with polarization phenomena. The problem of jets in QCD is treated through theoretical description and experimental observation. The connection with Regge theory is emphasized. The book covers many aspects of theory which are not discussed in other books, such as CET, QCD sum rules, and BFKL. • Provides a deep understanding of various aspects of the modern theory of strong interaction • Presents the general properties of QCD, before exploring perturbative and nonperturbative approaches • Discusses aspects of the theory such as CET, QCD sum rules, and BFKL, which are not covered in other books
The Large N Expansion in Quantum Field Theory and Statistical Physics by E. Brzin,Spenta R. Wadia Pdf
This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.
Quantum Chromodynamics - Proceedings Of The Thirteenth Lake Louise Winter Institute by Faqir C Khanna,Alan Astbury,Bruce A Campbell,James L Pinfold,Michel Vetterli Pdf
The proceedings of the Lake Louise Winter Institute for 1998 deal with strong interactions. This includes the jet physics and fragmentation functions as needed in high energy collider physics, deep inelastic scattering to study the structure functions of nucleons, and finally physics with the production and hadronization of quark-gluon plasma at Relativistic Heavy Ion Collider. Both the theoretical developments and experimental data were presented with the intent of establishing their relationship and finding new directions of study.
Quantum Chromodynamics by Walter Greiner,Stefan Schramm,Eckart Stein Pdf
This is a self-contained introduction to perturbative and nonperturbative quantum chromodynamics. Relativistic quantum field theory is recapitulated and scattering theory is discussed in the framework of scalar quantum electrodynamics. Then the gauge theory of quarks and gluons is introduced, before moving on to an advanced discussion of perturbative and nonperturbative techniques in state-of-the-art QCD.
