Lattice Gauge Theories An Introduction

Author : Heinz J Rothe
Publisher : World Scientific
Page : 397 pages
File Size : 42,5 Mb
Release : 1992-01-29
Category : Electronic
ISBN : 9789814602303

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Lattice Gauge Theories: An Introduction by Heinz J Rothe Pdf

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.

Author : Heinz J. Rothe
Publisher : World Scientific
Page : 610 pages
File Size : 41,8 Mb
Release : 2005
Category : Science
ISBN : 9789812560629

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Lattice Gauge Theories by Heinz J. Rothe Pdf

- Wherever possible simple examples, which illustrate the main ideas, are provided before embarking on the actual discussion of the problem of interest - The book introduces the readers to problems of great current interest, like instantons, calorons, vortices, magnetic monopoles - QCD at finite temperature is discussed at great length, both in perturbation theory and in Monte Carlo simulations - The book contains many figures showing numerical results of pioneering work

Author : Heinz J Rothe
Publisher : World Scientific Publishing Company
Page : 628 pages
File Size : 47,8 Mb
Release : 2012-03-14
Category : Science
ISBN : 9789813100626

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Lattice Gauge Theories: An Introduction (Fourth Edition) by Heinz J Rothe Pdf

This book provides a broad introduction to gauge field theories formulated on a space-time lattice, and in particular of QCD. It serves as a textbook for advanced graduate students, and also provides the reader with the necessary analytical and numerical techniques to carry out research on his own. Although the analytic calculations are sometimes quite demanding and go beyond an introduction, they are discussed in sufficient detail, so that the reader can fill in the missing steps. The book also introduces the reader to interesting problems which are currently under intensive investigation. Whenever possible, the main ideas are exemplified in simple models, before extending them to realistic theories. Special emphasis is placed on numerical results obtained from pioneering work. These are displayed in a great number of figures. Beyond the necessary amendments and slight extensions of some sections in the third edition, the fourth edition includes an expanded section on Calorons — a subject which has been under intensive investigation during the last twelve years.

Author : Heinz J. Rothe
Publisher : Unknown
Page : 530 pages
File Size : 50,8 Mb
Release : 1997
Category : Electronic
ISBN : 9812798943

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Lattice Gauge Theories by Heinz J. Rothe Pdf

Author : Christof Gattringer,Christian B. Lang
Publisher : Springer
Page : 343 pages
File Size : 52,6 Mb
Release : 2009-10-03
Category : Science
ISBN : 9783642018503

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Quantum Chromodynamics on the Lattice by Christof Gattringer,Christian B. Lang Pdf

This introduction to quantum chromodynamics presents the basic concepts and calculations in a clear and didactic style accessible to those new to the field. Readers will find useful methods for obtaining numerical results, including pure gauge theory and quenched spectroscopy.

Author : Yuri Makeenko
Publisher : Cambridge University Press
Page : 433 pages
File Size : 46,6 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009402057

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Methods of Contemporary Gauge Theory by Yuri Makeenko Pdf

Author : Jan Smit
Publisher : Cambridge University Press
Page : 285 pages
File Size : 52,6 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009402743

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Introduction to Quantum Fields on a Lattice by Jan Smit Pdf

Author : M. Chaichian,N. F. Nelipa
Publisher : Springer Science & Business Media
Page : 337 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642821776

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Introduction to Gauge Field Theories by M. Chaichian,N. F. Nelipa Pdf

In recent years, gauge fields have attracted much attention in elementary par ticle physics. The reason is that great progress has been achieved in solving a number of important problems of field theory and elementary particle physics by means of the quantum theory of gauge fields. This refers, in particular, to constructing unified gauge models and theory of strong interactions between the elementary particles. This book expounds the fundamentals of the quantum theory of gauge fields and its application for constructing unified gauge models and the theory of strong interactions. In writing the book, the authors' aim was three-fold: firstly, to outline the basic ideas underlying the unified gauge models and the theory of strong inter actions; secondly, to discuss the major unified gauge models, the theory of strong interactions and their experimental implications; and, thirdly, to acquaint the reader with a rather special mathematical approach (path-in tegral method) which has proved to be well suited for constructing the quantum theory of gauge fields. Gauge fields are a vigorously developing area. In this book, we have select ed for presentation the more or less traditional and commonly accepted mate rial. There also exist a number of different approaches which are presently being developed. The most important of them are touched upon in the Conclusion.

Author : G. 't Hooft
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 51,6 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781468475715

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Recent Developments in Gauge Theories by G. 't Hooft Pdf

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.

Author : Istvan Montvay,Gernot Münster
Publisher : Cambridge University Press
Page : 512 pages
File Size : 42,7 Mb
Release : 1994
Category : Mathematics
ISBN : 0521599172

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Quantum Fields on a Lattice by Istvan Montvay,Gernot Münster Pdf

Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.

Author : Michael Creutz
Publisher : Cambridge University Press
Page : 179 pages
File Size : 47,7 Mb
Release : 2023-01-31
Category : Science
ISBN : 9781009290388

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Quarks, Gluons and Lattices by Michael Creutz Pdf

This 1983 book, reissued as OA, introduces the lattice approach to QFT for elementary particle and solid state physicists.

Author : Claudio Rebbi
Publisher : World Scientific
Page : 675 pages
File Size : 45,9 Mb
Release : 1983-07-01
Category : Science
ISBN : 9789814590938

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Lattice Gauge Theories And Monte Carlo Simulations by Claudio Rebbi Pdf

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.

Author : A. M. Polyakov
Publisher : Routledge
Page : 312 pages
File Size : 53,9 Mb
Release : 2018-05-02
Category : Mathematics
ISBN : 9781351446099

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Gauge Fields and Strings by A. M. Polyakov Pdf

Based on his own work, the author synthesizes the most promising approaches and ideals in field theory today. He presents such subjects as statistical mechanics, quantum field theory and their interrelation, continuous global symmetry, non-Abelian gauge fields, instantons and the quantam theory of loops, and quantum strings and random surfaces. This book is aimed at postgraduate students studying field theory and statistical mechanics, and for research workers in continuous global theory.

Author : Joseph I. Kapusta,Charles Gale
Publisher : Cambridge University Press
Page : 443 pages
File Size : 46,7 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009401951

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Finite-Temperature Field Theory by Joseph I. Kapusta,Charles Gale Pdf

Author : Mike Guidry
Publisher : John Wiley & Sons
Page : 620 pages
File Size : 55,5 Mb
Release : 2008-07-11
Category : Science
ISBN : 9783527617364

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Gauge Field Theories by Mike Guidry Pdf

Acquaints readers with the main concepts and literature of elementary particle physics and quantum field theory. In particular, the book is concerned with the elaboration of gauge field theories in nuclear physics; the possibility of creating fundamental new states of matter such as an extended quark-gluon plasma in ultra-relativistic heavy ion collisions; and the relation of gauge theories to the creation and evolution of the universe. Divided into three parts, it opens with an introduction to the general principles of relativistic quantum field theory followed by the essential ingredients of gauge fields for weak and electromagnetic interactions, quantum chromodynamics and strong interactions. The third part is concerned with the interface between modern elementary particle physics and "applied disciplines" such as nuclear physics, astrophysics and cosmology. Includes references and numerous exercises.