Lattice studies of ground state wave functionals for Yang-Mills theory in Coulomb gauge

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

DOI:https://doi.org/10.1063/1.3574978· OSTI ID:21513268

Quandt, Markus; Burgio, Giuseppe; Reinhardt, Hugo ^[1]

---

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

Yang-Mills theory in Coulomb gauge has the remarkable property that Gauss' law can be resolved exactly which allows to apply familiar concepts from quantum mechanics. However, the exact form of the vacuum wave functional is still unknown. We study Creutz ratios and low order Green functions of a discretised lattice version of two candidates for the vacuum wave functional: the infrared limit of the Greensite-Olejnik approach (which amounts to a dimensionally reduced form of Yang-Mills theory), and the Gaussian wave functional. In both cases, we also investigate the existence of center vortices and their influence on the infrared properties of the models. Our findings are compared with recent lattice data obtained in full Yang-Mills theory.

• OSTI ID: 21513268
• 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
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
ENERGY LEVELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
GREEN FUNCTION
GROUND STATES
INVARIANCE PRINCIPLES
LAGRANGIAN FIELD THEORY
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MECHANICS
PARTICLE MODELS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUARK MODEL
WAVE FUNCTIONS
YANG-MILLS THEORY