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标题：Lattice QCD Study for Gluon Propagator and Gluon Spectral Function
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作者：H. Suganuma ; T. Iritani ; A. Yamamoto 等
期刊名称：PoS - Proceedings of Science
印刷版ISSN：1824-8039
出版年度：2010
卷号：2010
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.