Low-momentum ghost dressing function and the gluon mass

Journal Article · Wed Sep 01 04:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.054007· OSTI ID:21432960

Boucaud, Ph; Leroy, J P; Le Yaouanc, A; Micheli, J; Pene, O ^[1]; Gomez, M E; Rodriguez-Quintero, J ^[2]

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1. Laboratoire de Physique Theorique, Universite de Paris XI, Ba circumflex timent 211, 91405 Orsay Cedex (France)
2. Departamento Fisica Aplicada, Facultad Ciencias Experimentales, Universidad de Huelva, 21071 Huelva (Spain)

We study the low-momentum ghost propagator Dyson-Schwinger equation in the Landau gauge, assuming for the truncation a constant ghost-gluon vertex, as it is extensively done, and a simple model for a massive gluon propagator. Then, regular Dyson-Schwinger equation solutions (the zero-momentum ghost dressing function not diverging) appear to emerge, and we show the ghost propagator to be described by an asymptotic expression reliable up to the order O(q{sup 2}). That expression, depending on the gluon mass and the zero-momentum Taylor-scheme effective charge, is proven to fit pretty well some low-momentum ghost propagator data [I. L. Bogolubsky, E. M. Ilgenfritz, M. Muller-Preussker, and A. Sternbeck, Phys. Lett. B 676, 69 (2009); Proc. Sci., LAT2007 (2007) 290] from big-volume lattice simulations where the so-called ''simulated annealing algorithm'' is applied to fix the Landau gauge.

• OSTI ID: 21432960
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 5 Vol. 82; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGORITHMS
ASYMPTOTIC SOLUTIONS
BOSONS
COMPUTERIZED SIMULATION
CONSTRUCTIVE FIELD THEORY
EFFECTIVE CHARGE
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
MASS
MATHEMATICAL LOGIC
MATHEMATICAL SOLUTIONS
PROPAGATOR
QUANTUM FIELD THEORY
SIMULATION