English

Further Study of BRST-Symmetry Breaking on the Lattice

High Energy Physics - Lattice 2016-11-16 v1

Abstract

We evaluate the so-called Bose-ghost propagator Q(p^2) for SU(2) gauge theory in minimal Landau gauge, considering lattice volumes up to 120^4 and physical lattice extents up to 13.5 f. In particular, we investigate discretization effects, as well as the infinite-volume and continuum limits. We recall that a nonzero value for this quantity provides direct evidence of BRST-symmetry breaking, related to the restriction of the functional measure to the first Gribov region. Our results show that the prediction (from cluster decomposition) for Q(p^2) in terms of gluon and ghost propagators is better satisfied as the continuum limit is approached.

Keywords

Cite

@article{arxiv.1611.04789,
  title  = {Further Study of BRST-Symmetry Breaking on the Lattice},
  author = {Attilio Cucchieri and Tereza Mendes},
  journal= {arXiv preprint arXiv:1611.04789},
  year   = {2016}
}

Comments

6 pages, 3 figures; 34th annual International Symposium on Lattice Field Theory, 24-30 July 2016 , University of Southampton, UK