2012/11/01 by Shinya Gongyo, Gongyo, Shinya, Hideo Suganuma +3 · 1 citation
Physics and Astronomy · #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat
paper · pdf · doi:10.48550/arxiv.1211.0116
arXiv admin note: substantial text overlap with arXiv:1207.4377
arxiv created 2012/12/27 · arxiv updated 2013/01/01
In SU(3) lattice QCD, we improve a method to extract gauge fields from link variables analytically. With this method, we perform the first study on the effective mass generation of off-diagonal gluons and infrared Abelian dominance in the maximally Abelian (MA) gauge in the SU(3) case. We investigate the propagator and the effective mass of the off-diagonal gluon field in the MA gauge with \rm U(1)3 × \rm U(1)8 Landau gauge fixing in SU(3) quenched lattice QCD on 164 at β=5.7, 5.8 and 6.0. The off-diagonal gluon component behaves as a massive vector boson with the approximate effective mass M\rm off = 1.1 - 1.2 \rm GeV in the region of r = 0.3 - 0.8 \rm fm, and its propagation is limited within a short range. We thus show the origin of infrared Abelian dominance in terms of short-range propagation of off-diagonal gluons. We also investigate the functional form of the off-diagonal gluon propagator. We find that the functional form is well described by the four-dimensional Euclidean Yukawa-type function \rm exp\-m\rm off r\/r with m\rm off = 1.3 -1.4 \rm GeV for r = 0.1- 0.8\rm fm. This also indicates that the spectral function has a negative region.