出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We study the gluon propagator in the Landau gauge in SU(3) lattice QCD at b =5.7, 5.8 and 6.0 at the quenched level. The Euclidean Landau-gauge gluon propagator D(r) ≡ Daa mm (x)/24 is found to be well described by four-dimensional Yukawa-type function e−mr/r in the infrared and intermediate region of r ≡(xm xm )1/2 = 0.1 ∼ 1.0fm. The infrared effective gluon mass is obtained as m ≃ 600MeV. Associated with the 4D Yukawa-type gluon propagator, we derive analytical expressions for the zero-spatial-momentum propagator D0(t), the effective mass Meff(t), and the spectral function r(w) of the gluon field. Remarkably, the obtained gluon spectral function r(w) is almost negative definite, except for a positive d -functional peak at w = m. Since the Yukawatype propagation indicates a three-dimensional space-time character, we consider a hypothesis of an effective dimensional reduction by generalized Parisi-Sourlas mechanism in a stochastic color-magnetic vacuum of infrared QCD.
