Connections in Classical & Quantum...

By: Luigi Mangiarotti, Gennadi A. Sardanashvily

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Hardcover | 3 April 2000

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Hardcover
516 Pages

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22.23 x 15.88 x 2.54

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Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models. This collection of basic mathematical facts about various types of connections provides a detailed description of the relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental interactions. This text presents several levels of complexity, from the elementary to the advanced, and provides a considerable number of exercises. The authors have tried to give all the necessary mathematical background, thus making the book self-contained. This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.

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You Can Find This Book In

Non-Fiction Science Physics Quantum Physics & Quantum Mechanics & Quantum Field Theory Science in General Maths for Scientists Mathematics Booktopia Publisher Services World Scientific Publishing

Preface
Introduction	p. 1
Geometric interlude	p. 3
Connections	p. 35
Connections in Lagrangian field theory	p. 55
Connections in Hamiltonian field theory	p. 71
Connections in classical mechanics	p. 91
Gauge theory of principal connections	p. 149
Space-time connections	p. 215
Algebraic connections	p. 257
Superconnections	p. 285
Connections in quantum mechanics	p. 343
Connections in BRST formalism	p. 383
Topological field theories	p. 419
Anomalies	p. 435
Connections in non-commutative geometry	p. 447
Bibliography	p. 467
Index	p. 493
Table of Contents provided by Blackwell. All Rights Reserved.

Connections in Classical & Quantum...

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Hardcover

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