Abstract
A study of exactly solvable two-dimensional U( N) and SU( N) lattice gauge theories is presented where use is made of Wilson's action or an alternative action suggested by Manton. We study possible traces of the Gross-Witten third-order phase transition for finite N. When making use of Manton's action we observe that there is no sign of phase transition at all, even for the U(∞) theory. Some possible implications for higher dimensions are briefly touched upon.
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