Non-perturbative analysis of the Gribov-Zwanziger action

Journal Article · Mon May 23 04:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3574962· OSTI ID:21513251

Huber, Markus Q ^[1]; Alkofer, Reinhard ^[2]; Sorella, Silvio P ^[3]

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1. Physikalisch-Theoretisches Institut, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany)
2. Institut fuer Physik, Universitaet Graz, Universitaetsplatz 5, 8010 Graz (Austria)
3. Departamento de Fisica Teorica, Instituto de Fisica, UERJ - Universidade do Estado do Rio de Janeiro, Rua Sao Francisco Xavier 524, 20550-013 Maracana, Rio de Janeiro (Brazil)

In the non-perturbative regime the usual gauge fixing is not sufficient due to the Gribov problem. To deal with it one can restrict the integration in the path integral to the first Gribov region by using the Gribov-Zwanziger action. In its local form it features additional auxiliary fields which mix with the gluon at the two-point level. We present an explicit infrared analysis of this action. We show that from the two possible scaling solutions obtained previously only one remains: It coincides exactly with the results from the Faddeev-Popov action, i.e., the ghost propagator is infrared enhanced and the gluon propagator infrared suppressed and the corresponding power law behavior is described by only one parameter {kappa} = 0.5953.... This corroborates the argument by Zwanziger that for functional equations it suffices to take into account the appropriate boundary conditions and no explicit restriction in the path integral measure is required.

• OSTI ID: 21513251
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1343; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
BOSONS
BOUNDARY CONDITIONS
COMPOSITE MODELS
EQUATIONS
EXTENDED PARTICLE MODEL
GLUONS
MATHEMATICAL MODELS
MATHEMATICAL SOLUTIONS
PARTICLE MODELS
PERTURBATION THEORY
PROPAGATOR
QUARK MODEL
RENORMALIZATION
SCALING