BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition

Details BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition BRST symmetry of SU(2) Yang-Mills theory in Cho--Faddeev--Niemi decomposition

2005-04-25

arxiv.org/abs/hep-th/0504198v2

Eur.Phys.J.C42:475-481,2005

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, no figure; Introduction improved, 3 references added

Scientific paper

10.1140/epjc/s2005-02344-4

We determine the nilpotent BRST and anti-BRST transformations for the Cho--Faddeev-Niemi variables for the SU(2) Yang-Mills theory based on the new interpretation given in the previous paper of the Cho--Faddeev-Niemi decomposition. This gives a firm ground for performing the BRST quantization of the Yang--Mills theory written in terms of the Cho--Faddeev-Niemi variables. We propose also a modified version of the new Maximal Abelian gauge which could play an important role in the reduction to the original Yang-Mills theory.

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