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

Kondo, Kei-Ichi
##### Description
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.
Comment: 13 pages, no figure, The explicit form for F in the modified BRST transformation is changed, see eq.(3.23)to(3.27). Some comments are added in the final part
##### Keywords
High Energy Physics - Theory, High Energy Physics - Phenomenology