DISCRETE GAUGE THEORY
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DISCRETE GAUGE THEORY
From Lattices to TQFT
by Robert Oeckl (Universidad Nacional Autónoma de México, Mexico)
This book provides an introduction to topological quantum field theory as well as discrete gauge theory with quantum groups. In contrast to much of the existing literature, the present approach is at the same time intuitive and mathematically rigorous, making extensive use of suitable diagrammatic methods. It provides a highly unified description of lattice gauge theory, topological quantum field theory and models of quantum (super)gravity. The reader is thus in a unique position to understand the relations between these subjects as well as the underlying groundwork.
Contents:
- Quantization of Discretized Gauge Theories
- Topology: Decomposition of Manifolds
- Categories and Diagrams
- Representation Theory: Groups and Hopf Algebras
- Cellular Gauge Theory
- Topological Quantum Field Theory
- Related Constructions
- Applications to Lattice Models and Quantum Gravity
View Full Text (9,248 KB)
Readership: Researchers in theoretical physics and mathematical
physics.
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216pp
Pub. date: Aug 2005
eISBN 978-1-86094-737-7
US$72
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