Coulomb confinement from the Yang-Mills vacuum state in 2+1 dimensions

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

DOI:https://doi.org/10.1103/PHYSREVD.81.074504· OSTI ID:21409500

Greensite, Jeff ^[1]; Olejnik, Stefan ^[2]

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1. Physics and Astronomy Department, San Francisco State University, San Francisco, California 94132 (United States)
2. Institute of Physics, Slovak Academy of Sciences, SK-845 11 Bratislava (Slovakia)

The Coulomb-gauge ghost propagator and the color-Coulomb potential are computed in an ensemble of configurations derived from our recently proposed Yang-Mills vacuum wave functional in 2+1 dimensions. The results are compared to the corresponding values obtained by standard Monte Carlo simulations in three Euclidean dimensions. The agreement is quite striking for the Coulomb-gauge ghost propagator. The color-Coulomb potential rises linearly at large distances, but its determination suffers from rather large statistical fluctuations, due to configurations with very low values of {mu}{sub 0}, the lowest eigenvalue of the Coulomb-gauge Faddeev-Popov operator. However, if one imposes cuts on the data, effectively leaving out configurations with very low {mu}{sub 0}, the agreement of the potential in both sets of configurations is again satisfactory, although the error bars grow systematically as the cutoff is eliminated.

• OSTI ID: 21409500
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 81; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
COLOR MODEL
COMPOSITE MODELS
COMPUTERIZED SIMULATION
CONFIGURATION
CONFINEMENT
COULOMB FIELD
EIGENVALUES
ELECTRIC FIELDS
EUCLIDEAN SPACE
FLUCTUATIONS
GAUGE INVARIANCE
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL SPACE
MONTE CARLO METHOD
PARTICLE MODELS
PROPAGATOR
QUARK MODEL
RIEMANN SPACE
SIMULATION
SPACE
THREE-DIMENSIONAL CALCULATIONS
VACUUM STATES
VARIATIONS
YANG-MILLS THEORY