SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition

Ilgenfritz, Ernst-Michael and Menz, Christoph and Mueller-Preussker, Michael and Schiller, Arwed and Sternbeck, Andre (2011) SU(3) Landau gauge gluon and ghost propagators using the logarithmic lattice gluon field definition. PHYSICAL REVIEW D, 83 (5): 054506. ISSN 1550-7998,

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Abstract

We study the Landau gauge gluon and ghost propagators of SU(3) gauge theory, employing the logarithmic definition for the lattice gluon fields and implementing the corresponding form of the Faddeev-Popov matrix. This is necessary in order to consistently compare lattice data for the bare propagators with that of higher-loop numerical stochastic perturbation theory. In this paper we provide such a comparison, and introduce what is needed for an efficient lattice study. When comparing our data for the logarithmic definition to that of the standard lattice Landau gauge we clearly see the propagators to be multiplicatively related. The data of the associated ghost-gluon coupling matches up almost completely. For the explored lattice spacings and sizes discretization artifacts, finite size, and Gribov-copy effects are small. At weak coupling and large momentum, the bare propagators and the ghost-gluon coupling are seen to be approached by those of higher-order numerical stochastic perturbation theory.

Item Type: Article
Uncontrolled Keywords: NONPERTURBATIVE BRS INVARIANCE; MONTE-CARLO METHOD; FOURIER ACCELERATION; INFRARED BEHAVIOR; 2-POINT FUNCTIONS; FIXED THEORIES; QCD; CONFINEMENT; QUANTIZATION; SIMULATIONS;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 24 Jun 2020 05:07
Last Modified: 24 Jun 2020 05:07
URI: https://pred.uni-regensburg.de/id/eprint/21105

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