Duals of U(N) LGT with staggered fermions

Abstract

Various approaches to construction of dual formulations of non-abelian lattice gauge theories are reviewed. In the case of U(N) LGT we use a theory of the Weingarten functions to construct a dual formulation. In particular, the dual representations are constructed 1) for pure gauge models in all dimensions, 2) in the strong coupling limit for the models with arbitrary number of flavours and 3) for two-dimensional U(N) QCD with staggered fermions. Applications related to the finite temperature/density QCD are discussed.

arXiv comment8 pages, Proceedings for the 35th International Symposium on Lattice Field Theory (Lattice 2017)

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• The large N limit of SU(N) integrals in lattice models
• The Polyakov loop models in the large N limit: Phase diagram at finite density
• Duals of lattice Abelian models with static determinant at finite density
• Abelian color cycle and abelian color flux dualization methods for non-abelian lattice field theories