Nonperturbative gluon and ghost propagators for d=3 Yang-Mills theory

Journal Article · Tue Jun 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.125025· OSTI ID:21408115

Aguilar, A C ^[1]; Binosi, D ^[2]; Papavassiliou, J ^[3]

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1. Federal University of ABC, CCNH, Rua Santa Adelia 166, CEP 09210-170, Santo Andre (Brazil)
2. European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT), Villa Tambosi, Strada delle Tabarelle 286, I-38050 Villazzano (Italy)
3. Department of Theoretical Physics and IFIC, University of Valencia-CSIC, E-46100, Valencia (Spain)

We study a manifestly gauge-invariant set of Schwinger-Dyson equations to determine the nonperturbative dynamics of the gluon and ghost propagators in d=3 Yang-Mills theory. The use of the well-known Schwinger mechanism, in the Landau gauge leads to the dynamical generation of a mass for the gauge boson (gluon in d=3), which, in turn, gives rise to an infrared finite gluon propagator and ghost dressing function. The propagators obtained from the numerical solution of these nonperturbative equations are in very good agreement with the results of SU(2) lattice simulations.

• OSTI ID: 21408115
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
COMPUTERIZED SIMULATION
CONSTRUCTIVE FIELD THEORY
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INVARIANCE PRINCIPLES
LATTICE FIELD THEORY
LIE GROUPS
MASS
MATHEMATICAL SOLUTIONS
NUMERICAL SOLUTION
QUANTUM FIELD THEORY
SIMULATION
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
YANG-MILLS THEORY