The ghost propagator in Coulomb gauge

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

DOI:https://doi.org/10.1063/1.3574975· OSTI ID:21513265

Watson, P; Reinhardt, H ^[1]

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1. Institut fuer Theoretische Physik, Universitaet Tuebingen, Auf der Morgenstelle 14, D-72076 Tuebingen (Germany)

We present results for a numerical study of the ghost propagator in Coulomb gauge whereby lattice results for the spatial gluon propagator are used as input to solving the ghost Dyson-Schwinger equation. We show that in order to solve completely, the ghost equation must be supplemented by a boundary condition (the value of the inverse ghost propagator dressing function at zero momentum) which determines if the solution is critical (zero value for the boundary condition) or subcritical (finite value). The various solutions exhibit a characteristic behavior where all curves follow the same (critical) solution when going from high to low momenta until 'forced' to freeze out in the infrared to the value of the boundary condition. The boundary condition can be interpreted in terms of the Gribov gauge-fixing ambiguity; we also demonstrate that this is not connected to the renormalization. Further, the connection to the temporal gluon propagator and the infrared slavery picture of confinement is discussed.

• OSTI ID: 21513265
• Journal Information: AIP Conference Proceedings, Vol. 1343, Issue 1; Conference: QCHS 9: 9. international conference on quark confinement and the hadron spectrum, Madrid (Spain), 30 Aug - 3 Sep 2010; Other Information: DOI: 10.1063/1.3574975; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
FREEZING OUT
GAUGE INVARIANCE
GLUONS
LATTICE FIELD THEORY
NUMERICAL ANALYSIS
PERTURBATION THEORY
PROPAGATOR
RENORMALIZATION
SCHWINGER FUNCTIONAL EQUATIONS
YANG-MILLS THEORY
BOSONS
CONSTRUCTIVE FIELD THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICS
QUANTUM FIELD THEORY
SEPARATION PROCESSES