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Connections in Classical and Quantum Field Theory
Rok: 2000
ISBN: 9789810220136
OKCZID: 110094610
Citace (dle ČSN ISO 690):
MANGIAROTTI, L. Connections in classical and quantum field theory. Singapore: World Scientific, c2000. x, 504 s.
Anotace
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.