Spontaneous breakdown of BRST supersymmetry due to ghost condensation in QCD

Details Spontaneous breakdown of BRST supersymmetry due to ghost condensation in QCD Spontaneous breakdown of BRST supersymmetry due to ghost condensation in QCD

2001-03-18

arxiv.org/abs/hep-th/0103141v1

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures

Scientific paper

We argue that the BRST and the anti-BRST super symmetries in the four-dimensional Yang-Mills theory can be spontaneously broken in a nonlinear partial gauge due to ghost-anti-ghost condensation. However, we show that the spontaneous BRST symmetry breaking can be avoided if we adopt the modified Maximal Abelian gauge which is an orthosymplectic $OSp(4|2)$ invariant renormalizable gauge proposed by the author to derive quark confinement. We compare the Maximal Abelian gauge with the conventional $OSp(4|2)$ invariant gauge proposed by Delbourgo-Jarvis and Baulieu-Thierry-Mieg. Finally, an implication to the Gribov problem is briefly mentioned.

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