The Thermodynamics of Quantum YangCMills Theory


Book Description

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.




The Thermodynamics of Quantum Yang-Mills Theory


Book Description

This book aims to provide advanced students and researchers with the text on a nonperturbative, thermodynamically grounded, and largely analytical approach to four-dimensional Quantum Gauge Theory. The terrestrial, astrophysical, and cosmological applications, mostly within the realm of low-temperature photon physics, are treated.




60 Years Of Yang-mills Gauge Field Theories: C N Yang's Contributions To Physics


Book Description

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.




Homotopy Quantum Field Theory


Book Description

Homotopy Quantum Field Theory (HQFT) is a branch of Topological Quantum Field Theory founded by E. Witten and M. Atiyah. It applies ideas from theoretical physics to study principal bundles over manifolds and, more generally, homotopy classes of maps from manifolds to a fixed target space. This book is the first systematic exposition of Homotopy Quantum Field Theory. It starts with a formal definition of an HQFT and provides examples of HQFTs in all dimensions. The main body of the text is focused on $2$-dimensional and $3$-dimensional HQFTs. A study of these HQFTs leads to new algebraic objects: crossed Frobenius group-algebras, crossed ribbon group-categories, and Hopf group-coalgebras. These notions and their connections with HQFTs are discussed in detail. The text ends with several appendices including an outline of recent developments and a list of open problems. Three appendices by M. Muger and A. Virelizier summarize their work in this area. The book is addressed to mathematicians, theoretical physicists, and graduate students interested in topological aspects of quantum field theory. The exposition is self-contained and well suited for a one-semester graduate course. Prerequisites include only basics of algebra and topology.




The Thermodynamics of Quantum Yang-Mills Theory


Book Description

"This latest edition enhances the material of the first edition with a derivation of the value of the action for each of the Harrington- hepard 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- ave duality, and calculational intricacies and book-keeping related to one-loop scattering of massless modes in the deconfining phase of an SU(2) Yang- ills theory. Moreover, a derivation of the temperature- edshift relation of the CMB in deconfining SU(2) Yang- ills 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."--Provided by publisher.




Gauge/Gravity Duality


Book Description

The first textbook on this important topic, for graduate students and researchers in particle and condensed matter physics.




Quantum Field Theory in a Nutshell


Book Description

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




Quark-Gluon Plasma: Theoretical Foundations


Book Description

The purpose of this volume is to trace the development of the theoretical understanding of quark-gluon plasma, both in terms of the equation of state and thermal correlation functions and in terms of its manifestation in high energy nuclear collisions. Who among us has not wondered how tall a mountain is on a neutron star, what happens when matter is heated and compressed to higher and higher densities, what happens when an object falls into a black hole, or what happened eons ago in the early universe? The study of quark-gluon plasma is related in one way or another to these and other thought provoking questions. Oftentimes the most eloquent exposition is given in the original papers. To this end a selection is made of what are the most important pioneering papers in this field. The early 1950s was an era when high energy multiparticle production in cosmic ray interactions attracted the attention of some of the brightest minds in physics, and so it should be no surprise that the first reprinted papers deal with the introduction of statistical models of particle production. The quark model arose in the 1960s, while QCD as such was recognized as the theory of the strong interactions in the 1970's. The behavior of matter at high temperatures and supranuclear densities became of wide interest in the nuclear and particle physics communities starting in the 1970s, which is when the concept of quark-gluon plasma became established. The history of the field has been traced up to the early 1990s. There are three reasons for stopping at that point in time. First, most of the key theoretical concepts and formalisms arose before 1993, although many of them continue to be developed today and hopefully well into the future. Second, papers written after 1992 are much more readily available than those writen before due to the advent of the World Wide Web and its electronic preprint databases and journals. Finally, in making this collection of reprints available as hardcopy one is limited in the number of pages, and some papers in the present selection should have been deleted in order to make room for post-1993 papers. For the same reason the subject focus must of necessity be limited, which means that in this reprint collection two wide subject areas are not addressed: the behavior of nuclear matter under extreme conditions is not reported, nor is quark matter in neutron stars. The broad categories into which the material has been placed, reflect the diverse studies of quark-gluon plasma and its manifestation. They are: phase-space models of particle production, perturbative QCD plasma, lattice gauge theory, fluid dynamics and flow, strangeness, heavy flavor (charm), electromagnetic signals, parton cascade and minijets, parton energy loss and jet quenching, Hanbury Brown--Twiss (HBT) interferometry, disoriented chiral condensates, phase transition dynamics and cosmology, and color superconductivity. Each chapter is prefaced by an introduction, which contains a list of significant papers which is more complete than the reprinted papers, though by no means exhaustive. It also contains citations to most relevant papers published up to the date of completion of this volume (fall 2002). It is hoped that the short reviews will help bring the reader up to date on the latest developments. The selection of papers cited in each chapter, and in particular the ones selected for reprinting, is solely the responsibility of the Editors. It is based on their best judgement and experience in this field dating back to the mid-1970s. In order to be reprinted a paper must have been pioneering in the sense of originality and impact on the field. Generally they have been cited over a hundred times by other papers published in refereed journals. The final selection was reviewed and discussed among the Editors repeatedly. Just because a paper is not included does not mean they do not know of it or do not have a high regard for it. All of the papers cited or reprinted are original research contributions. There are three other types of publications listed. The first is a compilation of books. The second is a list of reviews, many of which contain a significant amount of original material. The third is a list of the proceedings of the series of Quark Matter meetings, the primary series of international conferences in this field that is attended by both theorists and experimentalists.




N=2 Supersymmetric Dynamics for Pedestrians


Book Description

Understanding the dynamics of gauge theories is crucial, given the fact that all known interactions are based on the principle of local gauge symmetry. Beyond the perturbative regime, however, this is a notoriously difficult problem. Requiring invariance under supersymmetry turns out to be a suitable tool for analyzing supersymmetric gauge theories over a larger region of the space of parameters. Supersymmetric quantum field theories in four dimensions with extended N=2 supersymmetry are further constrained and have therefore been a fertile field of research in theoretical physics for quite some time. Moreover, there are far-reaching mathematical ramifications that have led to a successful dialogue with differential and algebraic geometry. These lecture notes aim to introduce students of modern theoretical physics to the fascinating developments in the understanding of N=2 supersymmetric gauge theories in a coherent fashion. Starting with a gentle introduction to electric-magnetic duality, the author guides readers through the key milestones in the field, which include the work of Seiberg and Witten, Nekrasov, Gaiotto and many others. As an advanced graduate level text, it assumes that readers have a working knowledge of supersymmetry including the formalism of superfields, as well as of quantum field theory techniques such as regularization, renormalization and anomalies. After his graduation from the University of Tokyo, Yuji Tachikawa worked at the Institute for Advanced Study, Princeton and the Kavli Institute for Physics and Mathematics of the Universe. Presently at the Department of Physics, University of Tokyo, Tachikawa is the author of several important papers in supersymmetric quantum field theories and string theory.




Quantum Theory And Symmetries - Proceedings Of The International Symposium


Book Description

This volume gives a representative survey of recent developments in relativistic and non-relativistic quantum theory, which are related to the application of symmetries in their most general sense. The corresponding mathematical notions are centered upon groups, algebras and their generalizations, and are applied in interaction with topology, differential geometry, functional analysis and related fields. Special emphasis is on results in the following areas: quantization methods, nonlinear evolution equations, foundation of quantum physics, algebraic quantum field theory, gauge and string theories, quantum information, quantum groups, discrete symmetries.