Non-Abelian Debye screening. II. The singlet potential
The problems encountered in an earlier attempt to compute the non-Abelian Debye screening mass are rectified by considering the correlation of the eigenvalues of the untraced Polyakov loop. This gauge-invariant function is free from color averaging and is shown to yield the singlet potential of a static quark-antiquark pair at finite temperature. A perturbative computation requires that the electrostatic potential A/sub 4/ be endowed with a gauge-symmetry-breaking vacuum expectation value, the occurrence of which would explain the breakdown of perturbation theory encountered in the earlier calculation. While the symmetry breakdown cannot reliably be seen perturbatively, its effects on perturbative calculations can be assessed. It is found that most perturbative results, even the supposedly well-established low-order ones, would be affected. This would take the study of the quark-gluon plasma well out of the reach of perturbation theory and make nonperturbative techniques indispensable even at very high temperatures.
- Research Organization:
- Department of Physics and Astronomy, Rutgers University, P.O. Box 849, Piscataway, New Jersey 08854
- OSTI ID:
- 6690902
- Journal Information:
- Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 34:12; ISSN PRVDA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COLOR MODEL
COMPOSITE MODELS
COUPLING CONSTANTS
DEBYE LENGTH
DIMENSIONS
EIGENVALUES
ELECTROSTATICS
FIELD THEORIES
GAUGE INVARIANCE
INFRARED DIVERGENCES
INTERACTIONS
INVARIANCE PRINCIPLES
LENGTH
LIE GROUPS
MASS
MATHEMATICAL MODELS
MATTER
PARTICLE INTERACTIONS
PARTICLE MODELS
PERTURBATION THEORY
POTENTIALS
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MATTER
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
RENORMALIZATION
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SYMMETRY BREAKING
SYMMETRY GROUPS
VACUUM STATES