Find tips, reviews, and features on Quantum Field Theory and Topology sold for 107.18 $ , available in the Books & Magazines category; this product belongs to and is sold by Abebooks.com.
In recent years topology has firmly established itself as an important part of the physicists 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
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Explore tips, opinions, and features on Quantum Field Theory and Topology sold at 101.16 $ ; this product is listed in the Books & Magazines category, produced by , and sold by Abebooks.com.
In recent years topology has firmly established itself as an important part of the physicists 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
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One of the most remarkable interactions between geometry and physics since 1980 has been an application of quantum field theory to topology and differential geometry An essential difficulty in quantum field theory comes from infinitedimensional freedom of a system Techniques dealing with such infinitedimensional objects developed in the framework of quantum field theory have been influential in geometry as well This book focuses on the relationship between twodimensional quantum field theory and threedimensional topology which has been studied intensively since the discovery of the Jones polynomial in the middle of the 1980s and Wittens invariant for 3manifolds which was derived from ChernSimons gauge theory This book gives an accessible treatment for a rigorous construction of topological invariants originally defined as partition functions of fields on manifolds The book is organized as follows The Introduction starts from classical mechanics and explains basic background materials in quantum field theory and geometry Chapter 1 presents conformal field theory based on the geometry of loop groups Chapter 2 deals with the holonomy of conformal field theory Chapter 3 treats ChernSimons perturbation theory The final chapter discusses topological invariants for 3manifolds derived from ChernSimons perturbation theory
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