Discrete gauge theory : from lattices to TQFT / Robert Oeckl.

Format:

Book

Author/Creator:

Oeckl, Robert.

Language:

English

Subjects (All):

Gauge fields (Physics).

Quantum groups.

Quantum field theory.

Quantum gravity.

Hopf algebras.

Physical Description:

1 online resource (215 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press, 2005.

Language Note:

English

Summary:

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:

Preface; Contents; 1. Quantization of Discretized Gauge Theories; 2. Topology: Decomposition of Manifolds; 3. Categories and Diagrams; 4. Representation Theory: Groups & Hopf Algebras; 5. Cellular Gauge Theory; 6. Topological Quantum Field Theory; 7. Related Constructions; 8. Applications to Lattice Models and Quantum Gravity; References; Index

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

9786611867003

9781281867001

1281867004

9781860947377

1860947379

OCLC:

476063391