The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory

Details The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory

2009-05-12

arxiv.org/abs/0905.1899v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, no figure, The explicit form for F in the modified BRST transformation is changed, see eq.(3.23)to(3.27). Some comme

Scientific paper

We have found a nilpotent quantum symmetry of Yang-Mills theory restricted to the Gribov region. In fact, we give a set of transformations for the filds a la BRST that leaves the Gribov-Zwanziger action invariant and obeys the nilpotency, although the usual BRST symmetry is broken due to the non-vanishing Gribov parameter representing the presence of the Gribov horizon in the configuration space of the Yang-Mills field. We show that the horizon condition (the gap equation determining the Gribov parameter) follows from the modified BRST invariance of the vacuum.

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