$SU(2)$ gauge theory in the maximally abelian gauge without monopoles

Details $SU(2)$ gauge theory in the maximally abelian gauge without monopoles $SU(2)$ gauge theory in the maximally abelian gauge without monopoles

1996-02-25

arxiv.org/abs/hep-lat/9602024v2

Physics

High Energy Physics

High Energy Physics - Lattice

6 pages, LaTeX. Two references are added

Scientific paper

We present an algorithm for simulation of $SU(2)$ lattice gauge theory under the MA gauge and first numerical results for the theory without abelian monopoles. The results support the idea that nonperturbative interaction arises between monopoles and residual abelian field and the other interactions are perturbative. It is shown that the Gribov region for the theory with the MA gauge fixed is non-connected.

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