Published June 1995
| Version v1
Journal article
Two dimensional lattice gauge theory based on a quantum group
Creators
- 1. Ecole Polytechnique, 91 - Palaiseau (France). Centre de Physique Theorique
Description
In this article we analyse a two dimensional lattice gauge theory based on a quantum group. The algebra generated by gauge fields is the lattice algebra introduced recently by A. Yu. Alekseev, H. Grosse and V. Schomerus (1994). We define and study Wilson loops. This theory is quasi-topological as in the classical case, which allows us to compute the correlation functions of this theory on an arbitrary surface. (orig.)
Additional details
Publishing Information
- Journal Title
- Communications in Mathematical Physics
- Journal Volume
- 170
- Journal Issue
- 3
- Journal Page Range
- p. 669-698.
- ISSN
- 0010-3616
- CODEN
- CMPHAY
INIS
- Country of Publication
- Germany
- Country of Input or Organization
- Germany
- INIS RN
- 26064310
- Subject category
- S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
- Descriptors DEI
- ALGEBRA; ALGEBRAIC FIELD THEORY; BOLTZMANN STATISTICS; COMMUTATION RELATIONS; CORRELATION FUNCTIONS; DEFORMATION; DELTA FUNCTION; FIELD ALGEBRA; FIELD OPERATORS; GAUGE INVARIANCE; LATTICE FIELD THEORY; LIE GROUPS; LOCALITY; MEASURE THEORY; PARTITION FUNCTIONS; QUANTUM MECHANICS; RIEMANN SPACE; TOPOLOGY; TWO-DIMENSIONAL CALCULATIONS; UNIFIED GAUGE MODELS; VECTOR FIELDS; WEIGHTING FUNCTIONS; WILSON LOOP; YANG-MILLS THEORY
- Descriptors DEC
- AXIOMATIC FIELD THEORY; CONSTRUCTIVE FIELD THEORY; FIELD THEORIES; FUNCTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; MECHANICS; PARTICLE MODELS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SPACE; SYMMETRY GROUPS