Non Perturbative Quantum Field Theory Mathematical Aspects And Applications
Download Non Perturbative Quantum Field Theory Mathematical Aspects And Applications full books in PDF, epub, and Kindle. Read online free Non Perturbative Quantum Field Theory Mathematical Aspects And Applications ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Non perturbative Quantum Field Theory Mathematical Aspects And Applications
Author | : Jurg Frohlich |
Publsiher | : World Scientific |
Total Pages | : 854 |
Release | : 1992-04-29 |
Genre | : Electronic Book |
ISBN | : 9789814506564 |
Download Non perturbative Quantum Field Theory Mathematical Aspects And Applications Book in PDF, Epub and Kindle
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Non perturbative Quantum Field Theory
Author | : Jürg Fröhlich |
Publsiher | : World Scientific Publishing Company Incorporated |
Total Pages | : 841 |
Release | : 1992 |
Genre | : Science |
ISBN | : 9810204329 |
Download Non perturbative Quantum Field Theory Book in PDF, Epub and Kindle
Compiled to illustrate the recent history of Quantum Field Theory and its trends, this collection of selected reprints by Jürg Fröhlich, a leading theoretician in the field, is a comprehensive guide of the more mathematical aspects of the subject. Results and methods of the past fifteen years are reviewed. The analytical methods employed are non-perturbative and, for the larger part, mathematically rigorous. Most articles are review articles surveying certain important developments in quantum field theory and guiding the reader towards the original literature.The volume begins with a comprehensive introduction by Jürg Fröhlich.The theory of phase transitions and continuous symmetry breaking is reviewed in the first section. The second section discusses the non-perturbative quantization of topological solitons. The third section is devoted to the study of gauge fields. A paper on the triviality of λϖ4 — theory in four and more dimensions is found in the fourth section, while the fifth contains two articles on “random geometry”. The sixth and final part addresses topics in low-dimensional quantum field theory, including braid statistics, two-dimensional conformal field theory and an application to condensed matter theory.
Non Perturbative Field Theory
Author | : Yitzhak Frishman,Jacob Sonnenschein |
Publsiher | : Cambridge University Press |
Total Pages | : 455 |
Release | : 2010-04-08 |
Genre | : Science |
ISBN | : 9781139486484 |
Download Non Perturbative Field Theory Book in PDF, Epub and Kindle
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.
Mathematical Aspects of Quantum Field Theories
Author | : Damien Calaque,Thomas Strobl |
Publsiher | : Springer |
Total Pages | : 0 |
Release | : 2016-09-24 |
Genre | : Science |
ISBN | : 3319344129 |
Download Mathematical Aspects of Quantum Field Theories Book in PDF, Epub and Kindle
Despite its long history and stunning experimental successes, the mathematical foundation of perturbative quantum field theory is still a subject of ongoing research. This book aims at presenting some of the most recent advances in the field, and at reflecting the diversity of approaches and tools invented and currently employed. Both leading experts and comparative newcomers to the field present their latest findings, helping readers to gain a better understanding of not only quantum but also classical field theories. Though the book offers a valuable resource for mathematicians and physicists alike, the focus is more on mathematical developments. This volume consists of four parts: The first Part covers local aspects of perturbative quantum field theory, with an emphasis on the axiomatization of the algebra behind the operator product expansion. The second Part highlights Chern-Simons gauge theories, while the third examines (semi-)classical field theories. In closing, Part 4 addresses factorization homology and factorization algebras.
Nonperturbative Quantum Field Theory
Author | : G. Hooft,A. Jaffe,G. Mack,P.K. Mitter,R. Stora |
Publsiher | : Springer Science & Business Media |
Total Pages | : 603 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9781461307297 |
Download Nonperturbative Quantum Field Theory Book in PDF, Epub and Kindle
During the past 15 years, quantum field theory and classical statistical mechanics have merged into a single field, and the need for nonperturbative methods for the description of critical phenomena in statistical mechanics as well as for problems in elementary particle physics are generally acknowledged. Such methods formed the central theme of the 1987 Cargese Advanced Study Institut. e on "Nonpert. urbat. ive Quantum Field Theory." The use of conformal symmet. ry has been of central interest in recent years, and was a main subject at. t. he ASI. Conformal invariant quantum field theory describes statistical mechanical systems exactly at a critical point, and can be analysed to a remarkable ext. ent. by group t. heoretical methods. Very strong results have been obtained for 2-dimensional systems. Conformal field theory is also the basis of string theory, which offers some hope of providing a unified t. heory of all interactions between elementary particles. Accordingly, a number of lectures and seminars were presented on these two topics. After syst. ematic introductory lectures, conformal field theory on Riemann surfaces, orbifolds, sigma models, and application of loop group theory and Grassmannians were discussed, and some ideas on modular geometry were presented. Other lectures combined' traditional techniques of constructive quant. um field theory with new methods such as the use of index-t. heorems and infinite dimensional (Kac Moody) symmetry groups. The problems encountered in a quantum mechanical description of black holes were discussed in detail.
An Introduction to the Mathematical Structure of Quantum Mechanics
Author | : F. Strocchi |
Publsiher | : World Scientific |
Total Pages | : 193 |
Release | : 2008 |
Genre | : Science |
ISBN | : 9789812835222 |
Download An Introduction to the Mathematical Structure of Quantum Mechanics Book in PDF, Epub and Kindle
Arising out of the need for Quantum Mechanics (QM) to be part of the common education of mathematics students, this book formulates the mathematical structure of QM in terms of the C*-algebra of observables, which is argued on the basis of the operational definition of measurements and the duality between states and observables.
Mathematical Aspects of Quantum Field Theory
Author | : Edson de Faria,Welington de Melo |
Publsiher | : Unknown |
Total Pages | : 312 |
Release | : 2010 |
Genre | : Field theory (Physics) |
ISBN | : 0511912900 |
Download Mathematical Aspects of Quantum Field Theory Book in PDF, Epub and Kindle
Over the last century quantum field theory has made a significant impact on the formulation and solution of mathematical problems and inspired powerful advances in pure mathematics. However, most accounts are written by physicists, and mathematicians struggle to find clear definitions and statements of the concepts involved. This graduate-level introduction presents the basic ideas and tools from quantum field theory to a mathematical audience. Topics include classical and quantum mechanics, classical field theory, quantization of classical fields, perturbative quantum field theory, renormalization, and the standard model. The material is also accessible to physicists seeking a better understanding of the mathematical background, providing the necessary tools from differential geometry on such topics as connections and gauge fields, vector and spinor bundles, symmetries and group representations.
Nonperturbative Quantum Field Theory and the Structure of Matter
Author | : T. Borne,G. Lochak,H. Stumpf |
Publsiher | : Springer Science & Business Media |
Total Pages | : 327 |
Release | : 2006-04-11 |
Genre | : Science |
ISBN | : 9780306471315 |
Download Nonperturbative Quantum Field Theory and the Structure of Matter Book in PDF, Epub and Kindle
"This book, which presents a new view of quantum field theory, may serve as a research monograph and an alternative textbook examining topics which are not usually treated in conventional works." "Audience: This volume will appeal to researchers concerned with the foundation of the theory of matter and forces including gravitation. It will also be interesting to those working with quantum field theoretic methods in various disciplines, such as particle physics, nuclear physics, condensed mater physics, and relativity."--Jacket.