The nilpotent "BRST" symmetry for the Gribov-Zwanziger theory
arXiv:0905.1899
Abstract
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.
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
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Cited by in corpus (6)
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- A renormalization group invariant scalar glueball operator in the (Refined) Gribov-Zwanziger framework
- Exploring new horizons of the Gribov problem in Yang-Mills theories
- Decoupling and scaling solutions in Yang-Mills theory with the Gribov horizon
- Non-Abelian gauge theories with composite fields in the background field method
- Further Study of BRST-Symmetry Breaking on the Lattice