THE MASTER FIELD FOR 2D QCD ON THE SPHERE

Citation
Jp. Nunes et Hj. Schnitzer, THE MASTER FIELD FOR 2D QCD ON THE SPHERE, Physics letters. Section B, 377(1-3), 1996, pp. 117-123
Citations number
40
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
377
Issue
1-3
Year of publication
1996
Pages
117 - 123
Database
ISI
SICI code
0370-2693(1996)377:1-3<117:TMFF2Q>2.0.ZU;2-F
Abstract
We continue our analysis of the field strength correlation functions o f two-dimensional QCD on Riemann surfaces by studying the large N limi t of these correlation functions on the sphere for the gauge group U(N ). Our results allow us to exhibit an explicit master field for the fi eld strength F-mu nu in a ''topological gauge'', given by a single mas ter matrix in the Lie algebra of the maximal torus of the gauge group. Field correlators are obtained from the traces of the products of the master field. We also obtain a master field for the gauge potential A (mu) on the sphere, consistent with the master field for the field str ength.