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CONNECTIONS IN CLASSICAL AND QUANTUM FIELD THEORY
by L Mangiarotti (University of Camerino, Italy) & G Sardanashvily (Moscow State University, Russia)
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 in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. 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.
Contents:
- Geometric Interlude
- Connections
- Connections in Lagrangian
Field Theory
- Connections in Hamiltonian Field Theory
- Connections in Classical Mechanics
- Gauge Theory of Principal Connections
- Space–Time Connections
- Algebraic Connections
- Superconnections
- Connections in Quantum Mechanics
- Connections in BRST Formalism
- Topological Field Theories
- Anomalies
- Connections in Non-Commutative Geometry
Readership: Theoretical and mathematical physicists.
"this book certainly offers a valuable supplement to the existing literature on the impact of connection theory on theoretical physics."
| Mathematical Reviews, 2001 |
| 516pp |
Pub. date: May 2000 |
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