870 research outputs found
Duals of U(N) LGT with staggered fermions
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.Comment: 8 pages, Proceedings for the 35th International Symposium on Lattice
Field Theory (Lattice 2017
Phase structure of 3D Z(N) lattice gauge theories at finite temperature: large-N and continuum limits
We study numerically three-dimensional Z(N) lattice gauge theories at finite
temperature, for N = 5, 6, 8, 12, 13 and 20 on lattices with temporal extension
= 2, 4, 8. For each model, we locate phase transition points and
determine critical indices. We propose also the scaling of critical points with
N. The data obtained enable us to verify the scaling near the continuum limit
for the Z(N) models at finite temperatures.Comment: 17 pages, 2 figures, 9 table
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