Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon

Details Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon

2009-09-28

arxiv.org/abs/0909.4866v1

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 2 figures,

Scientific paper

We propose a trick which enables one to incorporate the Gribov horizon into the Schwinger-Dyson equation in Landau and Coulomb gauge Yang-Mills theory, using the Gribov-Zwanziger framework with the horizon term. We find a family of solutions parameterized by one-parameter $w_R(0)$ which was overlooked so far by assuming to be zero implicitly. The family includes both the scaling and decoupling solutions, and specification of the parameter discriminates between them. In the Landau gauge we discuss a possible decoupling solution satisfying the Kugo-Ojima criterion for color confinement.

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