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

C. Marchis, C. Gattringer

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf


We discuss a new approach to strong coupling expansion and dual epresentations 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.