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What is Gribov Region in Yang-Mills Theories about?

This document summarizes a study on the properties of the Gribov region in SU(2) Euclidean Yang-Mills theories in the maximal Abelian gauge. The main findings are: 1) The Gribov region is bounded in all off-diagonal directions of gauge field space, but unbounded along the diagonal direction. 2) The unboundedness along the diagonal direction preserves the local U(1) Ward identity of the maximal Abelian gauge, which is related to Abelian dominance. 3) BRST invariance is softly broken by the horizon term

Author

Veronica Andrea Leddermann Gutierrez (ELITSOFT)

Language

EN