Infinite volume and continuum limits for gluon propagator in 3d SU(2) lattice gauge theory

Abstract

We study the Landau gauge gluon propagator D(p) in the 3d SU(2) lattice gauge theory. We show that in the infinite-volume limit the expectation values over the Gribov region \Omega, are different (in the infrared) from that calculated in the fundamental modular region \Gamma. Also we show that this conclusion does not change when spacing $a$ tends to zero.

Comments: 7 pages, 5 figures. arXiv admin note: substantial text overlap with arXiv:1112.4975