Dualization of non-abelian lattice gauge theory with Abelian Color Cycles (ACC)

2016/11/03 by Carlotta Marchis, Marchis, Carlotta, Christof Gattringer +1 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.1611.01022

arxiv created 2016/11/03 · arxiv updated 2016/11/04

Abstract

We discuss a new approach to strong coupling expansion and dual representations for non-abelian lattice gauge theories. The Wilson gauge action is decomposed into a sum over "abelian color cycles" (ACC), which are loops around plaquettes visiting different colors at the corners. ACCs are complex numbers and thus commute such that a dual representation of a non-abelian theory can be obtained as in the abelian case. We apply the ACC approach to SU(2) and SU(3) lattice gauge theory and exactly rewrite the two partition sums in a strong coupling series where all gauge integrals are known in closed form.

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• Abelian color cycle and abelian color flux dualization methods for non-abelian lattice field theories

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