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

Journal Article · Tue Mar 01 04:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.054506· OSTI ID:21537440

Ilgenfritz, Ernst-Michael ^[1]; Menz, Christoph ^[2]; Mueller-Preussker, Michael ^[2]; Schiller, Arwed ^[3]; Sternbeck, Andre ^[4]

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1. Universitaet Bielefeld, Fakultaet fuer Physik, 33615 Bielefeld (Germany)
2. Humboldt-Universitaet zu Berlin, Institut fuer Physik, 12489 Berlin (Germany)
3. Universitaet Leipzig, Institut fuer Theoretische Physik, 04009 Leipzig (Germany)
4. Institut fuer Theoretische Physik, Universitaet Regensburg, 93040 Regensburg (Germany)

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.

• OSTI ID: 21537440
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPARATIVE EVALUATIONS
CONSTRUCTIVE FIELD THEORY
COUPLING
EVALUATION
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
PERTURBATION THEORY
PROPAGATOR
QUANTUM FIELD THEORY
STOCHASTIC PROCESSES
SU GROUPS
SU-3 GROUPS
SYMMETRY GROUPS