Non Perturbative Methods In 2 Dimensional Quantum Field Theory 2nd Edition
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| Author | : Elcio Abdalla |
| Publisher | : World Scientific |
| Total Pages | : 834 |
| Release | : 2001-07-31 |
| Genre | : Science |
| ISBN | : 9814491225 |
The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings.This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory.
| Author | : Elcio Abdalla |
| Publisher | : World Scientific |
| Total Pages | : 752 |
| Release | : 1991-08-12 |
| Genre | : Science |
| ISBN | : 9814506516 |
This book is a survey of methods used in the study of two-dimensional models in quantum field theory as well as applications of these theories in physics. It covers the subject since the first model, studied in the fifties, up to modern developments in string theories, and includes exact solutions, non-perturbative methods of study, and nonlinear sigma models.
| Author | : Yitzhak Frishman |
| Publisher | : Cambridge University Press |
| Total Pages | : 455 |
| Release | : 2010-04-08 |
| Genre | : Science |
| ISBN | : 1139486489 |
Providing a new perspective on quantum field theory, this book is useful for graduate students and researchers within and outside the field. It describes non-perturbative methods, and explores two-dimensional and four-dimensional gauge dynamics using those methods. Applications are thoroughly described.
| Author | : Yitzhak Frishman |
| Publisher | : Cambridge University Press |
| Total Pages | : 457 |
| Release | : 2023-07-31 |
| Genre | : Science |
| ISBN | : 1009401645 |
| Author | : Hans Christian Öttinger |
| Publisher | : Cambridge University Press |
| Total Pages | : 276 |
| Release | : 2018-01-11 |
| Genre | : Science |
| ISBN | : 1108246206 |
This text presents an intuitive and robust mathematical image of fundamental particle physics based on a novel approach to quantum field theory, which is guided by four carefully motivated metaphysical postulates. In particular, the book explores a dissipative approach to quantum field theory, which is illustrated for scalar field theory and quantum electrodynamics, and proposes an attractive explanation of the Planck scale in quantum gravity. Offering a radically new perspective on this topic, the book focuses on the conceptual foundations of quantum field theory and ontological questions. It also suggests a new stochastic simulation technique in quantum field theory which is complementary to existing ones. Encouraging rigor in a field containing many mathematical subtleties and pitfalls this text is a helpful companion for students of physics and philosophers interested in quantum field theory, and it allows readers to gain an intuitive rather than a formal understanding.
| Author | : Klaus D Rothe |
| Publisher | : World Scientific |
| Total Pages | : 350 |
| Release | : 2020-09-03 |
| Genre | : Science |
| ISBN | : 9811221944 |
Based on a two-semester course held at the University of Heidelberg, Germany, this book provides a solid basis for postgraduate students wishing to obtain a more profound understanding of the foundations of Quantum Field Theory. The book covers a wide spectrum of topics ranging from traditional operator and modern path integral methods, to different regularization and renormalization methods, asymptotic behavior of Green functions, a particular view on the Renormalization Group, and spontaneous symmetry breaking in effective potentials. Much effort has been made to present the material in a transparent, detailed and structured way, which should help the reader to follow the material.
| Author | : Marcos Mariño |
| Publisher | : Cambridge University Press |
| Total Pages | : 381 |
| Release | : 2015-09-03 |
| Genre | : Science |
| ISBN | : 1316368548 |
This highly pedagogical textbook for graduate students in particle, theoretical and mathematical physics, explores advanced topics of quantum field theory. Clearly divided into two parts; the first focuses on instantons with a detailed exposition of instantons in quantum mechanics, supersymmetric quantum mechanics, the large order behavior of perturbation theory, and Yang–Mills theories, before moving on to examine the large N expansion in quantum field theory. The organised presentation style, in addition to detailed mathematical derivations, worked examples and applications throughout, enables students to gain practical experience with the tools necessary to start research. The author includes recent developments on the large order behavior of perturbation theory and on large N instantons, and updates existing treatments of classic topics, to ensure that this is a practical and contemporary guide for students developing their understanding of the intricacies of quantum field theory.
| Author | : Elcio Abdalla |
| Publisher | : World Scientific |
| Total Pages | : 834 |
| Release | : 2001 |
| Genre | : Science |
| ISBN | : 9810245963 |
The second edition of Non-Perturbative Methods in Two-Dimensional Quantum Field Theory is an extensively revised version, involving major changes and additions. Although much of the material is special to two dimensions, the techniques used should prove helpful also in the development of techniques applicable in higher dimensions. In particular, the last three chapters of the book will be of direct interest to researchers wanting to work in the field of conformal field theory and strings.This book is intended for students working for their PhD degree and post-doctoral researchers wishing to acquaint themselves with the non-perturbative aspects of quantum field theory.
| Author | : Andreas Recknagel |
| Publisher | : Cambridge University Press |
| Total Pages | : 349 |
| Release | : 2013-11-28 |
| Genre | : Science |
| ISBN | : 1107511801 |
Boundary conformal field theory is concerned with a class of two-dimensional quantum field theories which display a rich mathematical structure and have many applications ranging from string theory to condensed matter physics. In particular, the framework allows discussion of strings and branes directly at the quantum level. Written by internationally renowned experts, this comprehensive introduction to boundary conformal field theory reaches from theoretical foundations to recent developments, with an emphasis on the algebraic treatment of string backgrounds. Topics covered include basic concepts in conformal field theory with and without boundaries, the mathematical description of strings and D-branes, and the geometry of strongly curved spacetime. The book offers insights into string geometry that go beyond classical notions. Describing the theory from basic concepts, and providing numerous worked examples from conformal field theory and string theory, this reference is of interest to graduate students and researchers in physics and mathematics.
| Author | : Jan Dereziński |
| Publisher | : Cambridge University Press |
| Total Pages | : 689 |
| Release | : 2023-01-31 |
| Genre | : Science |
| ISBN | : 1009290827 |
This 2013 book, now OA, offers a definitive review of mathematical aspects of quantization and quantum field theory.
