Duals of nonabelian gauge theories in $D$ dimensions

Details Duals of nonabelian gauge theories in $D$ dimensions Duals of nonabelian gauge theories in $D$ dimensions

1994-12-29

arxiv.org/abs/hep-lat/9412110v1

Phys.Lett. B350 (1995) 189-196

Physics

High Energy Physics

High Energy Physics - Lattice

Scientific paper

10.1016/0370-2693(95)00317-E

The dual of an arbitrary $D$-dimensional nonabelian lattice gauge theory, obtained after character expansion and integration over the gauge group, is shown to be a {\em local} lattice theory in the eigenspace of the Casimir operators. For $D\leq4$ we also provide the explicit form of the action as a product of character expansion coefficients and Racah coefficients. The representation can be used to facilitate strong coupling expansions. Furthermore, the possibility of simulations, at weak coupling, in the dual representation, is also discussed.

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