A note on BRST quantization of SU(2) Yang-Mills mechanics

Details A note on BRST quantization of SU(2) Yang-Mills mechanics A note on BRST quantization of SU(2) Yang-Mills mechanics

2005-04-20

arxiv.org/abs/hep-th/0504165v1

J.Math.Phys.46:102303,2005

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1063/1.2040348

The quantization of SU(2) Yang-Mills theory reduced to 0+1 space-time dimensions is performed in the BRST framework. We show that in the unitary gauge $A_0 = 0$ the BRST procedure has difficulties which can be solved by introduction of additional singlet ghost variables. In the Lorenz gauge $\dot{A}_0 = 0$ one has additional unphysical degrees of freedom, but the BRST quantization is free of the problems in the unitary gauge.

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