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Spontaneous breakdown of BRST supersymmetry due to ghost condensation in QCD

Kei-Ichi Kondo
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Abstract

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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Kei-Ichi Kondo. 2001-03-18. Spontaneous breakdown of BRST supersymmetry due to ghost condensation in QCD. https://arxiv.org/abs/hep-th/0103141

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