2013/01/12 by Shinya Gongyo, Gongyo, Shinya, Hideo Suganuma +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.1301.2646
arXiv admin note: substantial text overlap with arXiv:1211.0116, arXiv:1207.4377
arxiv created 2013/01/12 · openalex publication_date 2013/01/12 · arxiv updated 2013/01/15 · openalex created_date 2017/01/06 · openalex updated_date 2026/07/28
We investigate gluon propagators and the effective mass of the gluon fields in the MA gauge with U(1)3 × U(1)8 Landau gauge fixing in SU(3) lattice QCD. The Monte Carlo simulation is performed on 164 at β=5.7, 5.8 and 6.0 and 324 at β=5.8 and 6.0 at the quenched level. To calculate the propagators, we adopt a method to extract gauge fields from link-variables analytically in the SU(3) case. The off-diagonal gluons behave as massive vector bosons 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 the propagation is limited within a short range. On the other hand, the diagonal gluons behave as light vector bosons with M\rm diag≃ 0.3 \rm GeV and the propagation of diagonal gluons remains even in a large range. In this way, infrared Abelian dominance is shown in terms of short-range propagation of off-diagonal gluons. Furthermore, we investigate the functional form of the off-diagonal gluon propagator. 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 of off-diagonal gluons has the negative-value region.