2-DIMENSIONAL LATTICE GAUGE-THEORY BASED ON A QUANTUM GROUP

Authors
BUFFENOIR E ROCHE P
Citation
E. Buffenoir et P. Roche, 2-DIMENSIONAL LATTICE GAUGE-THEORY BASED ON A QUANTUM GROUP, Communications in Mathematical Physics, 170(3), 1995, pp. 669-698
Citations number
19
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
170
Issue
3
Year of publication
1995
Pages
669 - 698
Database
ISI
SICI code
0010-3616(1995)170:3<669:2LGBOA>2.0.ZU;2-D
Abstract
In this article we analyse a two dimensional lattice gauge theory base d on a quantum group. The algebra generated by gauge fields is the lat tice algebra introduced recently by A. Yu. Alekseev, H. Grosse and V. Schomerus in [1]. We define and study Wilson loops. This theory is qua si-topological as in the classical case, which allows us to compute th e correlation functions of this theory on an arbitrary surface.