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Title: On the solvability of two dimensional semigroup gauge theories

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3419770· OSTI ID:21362150
 [1]
  1. Department of Analysis, University of Miskolc, Miskolc 3115 (Hungary)

We study the solvability of two dimensional semigroup gauge theories by Migdal's link elimination method. We determine certain conditions that ensure that the partition sum corresponding to the join of two plaquettes depends only on the holonomy around the boundary of the joined plaquettes. These conditions are checked for a few types of semigroups: 0-groups, cyclic, inverse symmetric, and Brandt semigroups.

OSTI ID:
21362150
Journal Information:
Journal of Mathematical Physics, Vol. 51, Issue 6; Other Information: DOI: 10.1063/1.3419770; (c) 2010 American Institute of Physics; ISSN 0022-2488
Country of Publication:
United States
Language:
English

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