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Igor Olegovich Cherednikov,Tom Mertens,Frederik Van der Veken
Author : Igor Olegovich Cherednikov,Tom Mertens,Frederik Van der Veken Publisher : Walter de Gruyter GmbH & Co KG Page : 286 pages File Size : 49,6 Mb Release : 2019-12-02 Category : Science ISBN : 9783110651690
Wilson Lines in Quantum Field Theory by Igor Olegovich Cherednikov,Tom Mertens,Frederik Van der Veken Pdf
The objective of this book is to get the reader acquainted with theoretical and mathematical foundations of the concept of Wilson loops in the context of modern quantum fi eld theory. It offers an introduction to calculations with Wilson lines, and shows the recent development of the subject in different important areas of research within the historical context.
Igor Olegovich Cherednikov,Frederik F. Van der Veken
Author : Igor Olegovich Cherednikov,Frederik F. Van der Veken Publisher : Walter de Gruyter GmbH & Co KG Page : 225 pages File Size : 52,6 Mb Release : 2016-11-21 Category : Science ISBN : 9783110430684
Parton Densities in Quantum Chromodynamics by Igor Olegovich Cherednikov,Frederik F. Van der Veken Pdf
The purpose of this book is to give a systematic pedagogical exposition of the quantitative analysis of Wilson lines and gauge-invariant correlation functions in quantum chromodynamics. Using techniques from the previous volume (Wilson Lines in Quantum Field Theory, 2014), an ab initio methodology is developed and practical tools for its implementation are presented. Emphasis is put on the implications of gauge invariance and path-dependence properties of transverse-momentum dependent parton density functions. The latter are associated with the QCD factorization approach to semi-inclusive hadronic processes, studied at currently operating and planned experimental facilities. Contents: Introduction Particle Number Operators in Quantum Mechanics and in Quantum Field Theory Geometry of Quantum Field Theories Basics of Wilson Lines in QCD Gauge-Invariant Parton Densities Simplifying Wilson Line Calculations Brief Literature Guide Conventions and Reference Formulae Integrations Bibliography Index
Igor Olegovich Cherednikov,Tom Mertens,Frederik Van der Veken
Author : Igor Olegovich Cherednikov,Tom Mertens,Frederik Van der Veken Publisher : Walter de Gruyter GmbH & Co KG Page : 298 pages File Size : 41,7 Mb Release : 2019-12-02 Category : Science ISBN : 9783110651034
Wilson Lines in Quantum Field Theory by Igor Olegovich Cherednikov,Tom Mertens,Frederik Van der Veken Pdf
The De Gruyter Studies in Mathematical Physics are devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply and develop further, with sufficient rigor, mathematical methods to given problems in physics. For this reason, works with a few authors are preferred over edited volumes. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Current Topics in Quantum Field Theory Research by O. Kovras Pdf
Quantum field theory was invented to deal simultaneously with special relativity and quantum mechanics, the two greatest discoveries of early twentieth-century physics, but it has become increasingly important to many areas of physics including quantum hall physics, surface growth, string theory, D-branes and quantum gravity as well as condensed-matter and high-energy applications and particle-physics. This important book presents leading-edge research from throughout the world.
Author : B. E. Baaquie,K. K. Phua,Michael Edward Peskin Publisher : World Scientific Publishing Company Incorporated Page : 385 pages File Size : 50,7 Mb Release : 2014-12-31 Category : Science ISBN : 9814619213
Ken Wilson Memorial Volume by B. E. Baaquie,K. K. Phua,Michael Edward Peskin Pdf
Kenneth Geddes Wilson (1936–2013) — intellectual giant, Nobel Laureate, intrepid scholar, visionary thinker, pioneering physicist and a person of conscience — made seminal contributions to the foundations of contemporary physics and undertook tireless efforts to bring reforms in the educational system.The purpose of bringing out this volume is to commemorate the memory of Ken Wilson and to preserve the legacy of his ground-breaking advances. This volume brings together a collection of articles written by colleagues of Ken Wilson as well as fellow physicists and scholars — some of who knew him personally and others who are knowledgeable about his sterling contributions to the foundations of theoretical physics.The work of Ken Wilson covers many diverse and apparently unrelated fields, all of which were brought under a common paradigm by the creative and original development and application of the mathematics of quantum field theory. As observed by Wilson, “the intuitive ideas” of quantum field theory and of the entire program of renormalization, “were encased in a thick shell of formalism” and it is widely acknowledged that it was Wilson's visionary approach to quantum field theory that cut through this thick shell of formalism.Based on his deep understanding that the essence of quantum field theory is that it describes a system with infinitely many degrees of freedom, Wilson used the mathematics of quantum field theory and of the renormalization group to solve the problem of classical phase transitions — which consists of the cooperative behavior of infinitely many classical degrees of freedom. In doing this he greatly enhanced the domain of quantum field theory beyond the orbit of quantum systems as well as bringing new insights to quantum field theory from other disciplines.To commemorate the memory of Ken Wilson, many leading and illustrious physicists have agreed to contribute to this volume. These include Murray Gell-Mann, Steven Weinberg, David Gross, Alexander Polyakov, John Schwarz, Kerson Huang, Hao Bailin, Alexander Zamolodchikov, Anthony Zee, Ramamurti Shankar, Edouard Brezin and David Wallace.
A unique approach to quantum field theory, with emphasis on the principles of renormalization Quantum field theory is frequently approached from the perspective of particle physics. This book adopts a more general point of view and includes applications of condensed matter physics. Written by a highly respected writer and researcher, it first develops traditional concepts, including Feynman graphs, before moving on to key topics such as functional integrals, statistical mechanics, and Wilson's renormalization group. The connection between the latter and conventional perturbative renormalization is explained. Quantum Field Theory is an exceptional textbook for graduate students familiar with advanced quantum mechanics as well as physicists with an interest in theoretical physics. It features: * Coverage of quantum electrodynamics with practical calculations and a discussion of perturbative renormalization * A discussion of the Feynman path integrals and a host of current subjects, including the physical approach to renormalization, spontaneous symmetry breaking and superfluidity, and topological excitations * Nineteen self-contained chapters with exercises, supplemented with graphs and charts
Methods of Contemporary Gauge Theory by Yuri Makeenko Pdf
This 2002 book provides a thorough introduction to quantum theory of gauge fields, with emphasis on non-perturbative methods. Suitable as a textbook for advanced graduate courses in quantum field theory, it will also be of interest to researchers in high energy theory and condensed matter physics.
Quantum field theory is the basic mathematical framework that is used to describe elementary particles. This textbook provides a complete and essential introduction to the subject. Assuming only an undergraduate knowledge of quantum mechanics and special relativity, this book is ideal for graduate students beginning the study of elementary particles. The step-by-step presentation begins with basic concepts illustrated by simple examples, and proceeds through historically important results to thorough treatments of modern topics such as the renormalization group, spinor-helicity methods for quark and gluon scattering, magnetic monopoles, instantons, supersymmetry, and the unification of forces. The book is written in a modular format, with each chapter as self-contained as possible, and with the necessary prerequisite material clearly identified. It is based on a year-long course given by the author and contains extensive problems, with password protected solutions available to lecturers at www.cambridge.org/9780521864497.
The Link Invariants of the Chern-Simons Field Theory by E. Guadagnini Pdf
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
An Introduction To Quantum Field Theory by Michael E. Peskin Pdf
An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.
Introduction to Quantum Field Theory by Anthony G. Williams Pdf
This textbook offers a detailed and uniquely self-contained presentation of quantum and gauge field theories. Writing from a modern perspective, the author begins with a discussion of advanced dynamics and special relativity before guiding students steadily through the fundamental principles of relativistic quantum mechanics and classical field theory. This foundation is then used to develop the full theoretical framework of quantum and gauge field theories. The introductory, opening half of the book allows it to be used for a variety of courses, from advanced undergraduate to graduate level, and students lacking a formal background in more elementary topics will benefit greatly from this approach. Williams provides full derivations wherever possible and adopts a pedagogical tone without sacrificing rigour. Worked examples are included throughout the text and end-of-chapter problems help students to reinforce key concepts. A fully worked solutions manual is available online for instructors.
Low-Dimensional Topology and Quantum Field Theory by Hugh Osborn Pdf
The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.
