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29 March 2024
 
  » arxiv » hep-th/9501099

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Universal Aspects of Two-Dimensional Yang-Mills Theory at Large N
Michael Crescimanno ; Howard J. Schnitzer ;
Date 21 Dec 1994
Journal Int.J.Mod.Phys. A11 (1996) 1733-1746
Subject hep-th
AbstractWe show that the large N partition functions and Wilson loop observables of two-dimensional Yang-Mills theories admit a universal functional form irrespective of the gauge group. We demonstrate that U(N) QCD_2 undergoes a large N, third-order phase transition on the projective plane at an area-coupling product of pi^2/2. We use this as a lemma to provide a direct transcription of the partition functions and phase portraits of Yang-Mills theory from the U(N) on RP^2 at large N to the other classical Lie groups on S^2. We compute the expectation value of the Wilson loops in the fundamental representation for SO(N) and Sp(N) on the two sphere. Finally we compare the strong- and weak-coupling limit of these expressions with those found elswhere in the literature.
Source arXiv, hep-th/9501099
Other source [GID 1066460] hep-th/9501099
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