Download or read book Lattice Gauge Theories and Monte Carlo Simulations written by Claudio Rebbi and published by World Scientific. This book was released on 1983 with total page 682 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the most up-to-date review on Lattice Gauge Theories and Monte Carlo Simulations. It consists of two parts. Part one is an introductory lecture on the lattice gauge theories in general, Monte Carlo techniques and on the results to date. Part two consists of important original papers in this field. These selected reprints involve the following: Lattice Gauge Theories, General Formalism and Expansion Techniques, Monte Carlo Simulations. Phase Structures, Observables in Pure Gauge Theories, Systems with Bosonic Matter Fields, Simulation of Systems with Fermions.
Download or read book Lattice Gauge Theory written by B. Bunk and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the contributions to the international workshop entitled "Lattice Gauge Theory - a Challenge in Large Scale Computing" that was held in Wuppertal from November 4 to 7, 1985. This meeting was the third in a series of European workshops in this rapidly developing field. The meeting intended to bring together both active university research ers in this field and scientists from industry and research centers who pursue large scale computing projects on problems within lattice gauge theory. These problems are extremely demanding from the point of view of both machine hardware and algorithms, for the verification of the continuum fields theories like Quantum Chromodynamics in four-dimensional Euclidean space-time is quite cumbersome due to the tremendously large number of de grees of freedom. Yet the motivation of theoretical physicists to exploit computers as tools for the simulation of complex systems such as gauge field theories has grown considerably during the past years. In fact, quite a few prominent colleagues of ours have even gone into machine building, both in industry and research institutions: more parallelism, and more de dicated computer architecture are their design goals to help them boost the Megaflop rate in their simulation processes. The workshop contained several interesting seminars with status reports on such supercomputer projects like the Italian APE (by E. Marinari), the IBM project GF-11 (by D. Weingarten), and the Danish projects MOSES and PALLAS (by H. Bohr).
Download or read book Quarks Gluons and Lattices written by Michael Creutz and published by Cambridge University Press. This book was released on 2023-01-31 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1983 book, reissued as OA, introduces the lattice approach to QFT for elementary particle and solid state physicists.
Download or read book Quantum Fields on a Lattice written by Istvan Montvay and published by Cambridge University Press. This book was released on 1994 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.
Download or read book From Gravity to Thermal Gauge Theories The AdS CFT Correspondence written by Eleftherios Papantonopoulos and published by Springer. This book was released on 2011-03-27 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: The AdS/CFT correspondence is a powerful tool in studying strongly coupled phenomena in gauge field theories, using results from a weakly coupled gravity background studied in the realm of string theory. AdS/CFT was first successfully applied to the study of phenomena such as the quark-gluon plasma produced in heavy ions collisions. Soon it was realized that its applicability can be extended, in a more phenomenological approach, to condensed matter systems and to systems described by fluid dynamics. The set of tutorial reviews in this volume is intended as an introduction to and survey of the principle of the AdS/CFT correspondence in its field/string theoretic formulation, its applicability to holographic QCD and to heavy ions collisions, and to give a first account of processes in fluid dynamics and condensed matter physics, which can be studied with the use of this principle. Written by leading researchers in the field and cast into the form of a high-level but approachable multi-author textbook, this volume will be of benefit to all postgraduate students, and newcomers from neighboring disciplines wishing to find a comprehensive guide for their future research.
Download or read book Principles Of Phase Structures In Particle Physics written by Hildegard Meyer-ortmanns and published by World Scientific. This book was released on 2006-12-06 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: The phase structure of particle physics shows up in matter at extremely high densities and/or temperatures as they were reached in the early universe, shortly after the big bang, or in heavy-ion collisions, as they are performed nowadays in laboratory experiments. In contrast to phase transitions of condensed matter physics, the underlying fundamental theories are better known than their macroscopic manifestations in phase transitions. These theories are quantum chromodynamics for the strong interaction part and the electroweak part of the Standard Model for the electroweak interaction. It is their non-Abelian gauge structure that makes it a big challenge to predict the type of phase conversion between phases of different symmetries and different particle contents. The book is about a variety of analytical and numerical tools that are needed to study the phase structure of particle physics. To these belong convergent and asymptotic expansions in strong and weak couplings, dimensional reduction, renormalization group studies, gap equations, Monte Carlo simulations with and without fermions, finite-size and finite-mass scaling analyses, and the approach of effective actions as supplement to first-principle calculations.
Download or read book The Large N Expansion in Quantum Field Theory and Statistical Physics written by E. Brzin and published by World Scientific. This book was released on 1993 with total page 1154 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Quark Gluon Plasma written by Kohsuke Yagi and published by Cambridge University Press. This book was released on 2005-12-15 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quark-Gluon Plasma introduces the primordial matter, composed of two types of elementary particles, created at the time of the Big Bang. During the evolution of the universe, Quark-Gluon Plasma (QGP) undergoes a transition to hadronic matter governed by quantum chromodynamics, the law of strong interactions. After an introduction to gauge theories, various aspects of quantum chromodynamic phase transitions are illustrated in a self-contained manner. The cosmological approach and renormalization group are discussed, as well as the cosmological and astrophysical implications of QGP, on the basis of Einstein's equations. Recent developments towards the formation of QGP in ultrarelativistic heavy ion collisions are also presented in detail. This text is suitable as an introduction for graduate students, as well as providing a valuable reference for researchers already working in this and related fields. It includes eight appendices and over a hundred exercises.
Download or read book Lattice Gauge Theories An Introduction written by Heinz J Rothe and published by World Scientific. This book was released on 1992-01-29 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.
Download or read book Recent Developments in Gauge Theories written by G. 't Hooft and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost all theories of fundamental interactions are nowadays based on the gauge concept. Starting with the historical example of quantum electrodynamics, we have been led to the successful unified gauge theory of weak and electromagnetic interactions, and finally to a non abelian gauge theory of strong interactions with the notion of permanently confined quarks. The. early theoretical work on gauge theories was devoted to proofs of renormalizability, investigation of short distance behaviour, the discovery of asymptotic freedom, etc . . , aspects which were accessible to tools extrapolated from renormalised perturbation theory. The second phase of the subject is concerned with the problem of quark confinement which necessitates a non-perturbative understanding of gauge theories. This phase has so far been marked by the introduc tion of ideas from geometry, topology and statistical mechanics in particular the theory of phase transitions. The 1979 Cargese Institute on "Recent Developments on Gauge Theories" was devoted to a thorough discussion of these non-perturbative, global aspects of non-abelian gauge theories. In the lectures and seminars reproduced in this volume the reader wilf find detailed reports on most of the important developments of recent times on non perturbative gauge fields by some of the leading experts and innovators in this field. Aside from lectures on gauge fields proper, there were lectures on gauge field concepts in condensed matter physics and lectures by mathematicians on global aspects of the calculus of variations, its relation to geometry and topology, and related topics.
Download or read book Lattice Gauge Theory 86 written by Helmut Satz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of'the International Workshop "Lattice Gauge Theory 1986", held at Brookhaven National Laboratory, September 15 - 19, 1986. The meeting was the sequel to the one held at Wuppertal in 1985, the Proceedings of which have appeared in the same Plenum series. During the past few years, a considerable number of meetings on lat tice gauge theory have been held, on both sides of the Atlantic. With our workshop, through early planning and coordination with other prospective organizers, we tried to channel this activity into one major yearly meeting. For 1986, these efforts were successful, and it is our hope that a pattern has been set for the coming years. One result, however, was that the number of participants considerably exceeded that normally found at NATO Advanced Research Workshops. This year, a "nucleus" of NATO-supported experts induced a large number of further interested specialists to obtain their own funds - thus greatly amplifying the impact of the event. The topics covered at the workshop ranged from hadron spectra to strong interaction thermo dynamics; they included spontaneous symmetry breaking and Higgs models, renormalization group methods, as well as many contributions on various possible schemes for the simulation of dynamical quarks. First systematic applications of finite size scaling to lattice gauge theory were discussed, and the approach to the continuum limit was considered in detail.
Download or read book Energy Research Abstracts written by and published by . This book was released on 1978 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Lattice Quantum Field Theory Of The Dirac And Gauge Fields Selected Topics written by Belal Ehsan Baaquie and published by World Scientific. This book was released on 2020-07-30 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.
Download or read book Statistical Approach to Quantum Field Theory written by Andreas Wipf and published by Springer Nature. This book was released on 2021-10-25 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Download or read book Quark Gluon Plasma Theoretical Foundations written by J. Kapusta and published by Gulf Professional Publishing. This book was released on 2003-11-25 with total page 850 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Physics Briefs written by and published by . This book was released on 1992 with total page 1812 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Constructive Quantum Field Theory II written by G. Velo and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: The seventh Ettore Majorana International School of Mathematical Physics was :Jeld at the Centro della Cultura Scientifica Erice. Sicily, 1-15 July 1988. The present volume collects lecture notes on the session which was entitled Con8tructive Quantum Field Theory lI. The II refers to the fact that the first such school in 1973 was devoted ,0 the same subject. The school was a NATO Advanced Study Institute sponsored Jy the Italian Ministry of Scientific and Technological Research and the Regional 3icilian Government. At the time of the 1973 Erice School on Constructive Field Theory, the speakers :ould summarize a decade of effort on the solution of superrenormalizable models in two dimensional space-time leading to the verification of the axioms of relativistic :J. uantum field theory for these examples. The resulting lecture notes have proved ,0 be exceptionally useful and are still in print. In the decade and a half that have ~lapsed since that time, there has been much hard work with the ultimate objective of providing a rigorous mathematical foundation for the quantum field theories in four iimensional space-time that summarize a large fraction of our current understanding )f elementary particle physics: QCD and the electroweak theory. The lecture notes )f the 1988 school record the fact that, although this objective has not been reached, Important progress has been made. The ultraviolet stability of Yang-Mills theory In four dimensions has been treated and renormalizable (not superrenormalizable) models in two dimensional space-time, Gross-Neveu models, have been solved.
