Quantum Field Theory And Topology

Author: Albert S. Schwarz
Editor: Springer
ISBN: 9783642081309
File Size: 59,98 MB
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In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. The main focus of this book is on the results of quantum field theory that are obtained by topological methods. Some aspects of the theory of condensed matter are also discussed. Part I is an introduction to quantum field theory: it discusses the basic Lagrangians used in the theory of elementary particles. Part II is devoted to the applications of topology to quantum field theory. Part III covers the necessary mathematical background in summary form. The book is aimed at physicists interested in applications of topology to physics and at mathematicians wishing to familiarize themselves with quantum field theory and the mathematical methods used in this field. It is accessible to graduate students in physics and mathematics.
Quantum Field Theory and Topology
Language: en
Pages: 276
Authors: Albert S. Schwarz
Categories: Mathematics
Type: BOOK - Published: 2010-12-09 - Publisher: Springer

In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. The main focus of this book is on the results of quantum field theory
Geometry, Topology and Quantum Field Theory
Language: en
Pages: 220
Authors: P. Bandyopadhyay
Categories: Science
Type: BOOK - Published: 2013-03-09 - Publisher: Springer Science & Business Media

This is a monograph on geometrical and topological features which arise in quantum field theory. It is well known that when a chiral fermion interacts with a gauge field we have chiral anomaly which corresponds to the fact that divergence of the axial vector current does not vanish. It is
Quantum Field Theory and Topology
Language: en
Pages: 276
Authors: Albert S. Schwarz
Categories: Mathematics
Type: BOOK - Published: 1993-10-21 - Publisher: Springer Science & Business Media

In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. The main focus of this book is on the results of quantum field theory
Differential Topology and Quantum Field Theory
Language: en
Pages: 386
Authors: Charles Nash
Categories: Mathematics
Type: BOOK - Published: 1991 - Publisher: Elsevier

The remarkable developments in differential topology and how these recent advances have been applied as a primary research tool in quantum field theory are presented here in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following his previous work (Nash/Sen: Differential Topology for
Lectures on Field Theory and Topology
Language: en
Pages: 186
Authors: Daniel S. Freed
Categories: Algebraic topology
Type: BOOK - Published: 2019-08-23 - Publisher: American Mathematical Soc.

These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized.