Eur. Phys. J. C (2005) 42: 475-481
https://doi.org/10.1140/epjc/s2005-02344-4

Theoretical Physics

BRST symmetry of Yang-Mills theoryin Cho-Faddeev-Niemi decomposition

¹ Department of Physics, Faculty of Science, Chiba University, 263-8522, Chiba, Japan
² Graduate School of Science and Technology, Chiba University, 263-8522, Chiba, Japan

^* e-mail: kondok@faculty.chiba-u.jp

Abstract

We determine the nilpotent BRST and anti-BRST transformations for the Cho-Faddeev-Niemi variables for the Yang-Mills theory based on the new interpretation given in a 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.