Effective action for SU([ital N]) at a finite temperature

Journal Article · Thu Apr 01 04:00:00 EST 1993 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.47.1763· OSTI ID:6643962

Chapman, S ^[1]

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1. Nuclear Science Division, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720 (United States)

Techniques are developed in order to study static magnetic screening and other nonperturbative aspects of QCD at high temperatures. In particular, a covariant derivative expansion of the one-loop effective action is presented and then modified by an infinite resummation so as to provide agreement with the exactly calculable one-loop effective potential. Essential to this technique is a self-consistently defined infrared cutoff which determines the prefactor in semiclassical calculations. Using this prefactor, densities of monopole and dyon plasmas are calculated, and it is found that if such plasmas do exist at finite temperature, then the solitons involved must be overlapping one another. It is also shown that no consistent perturbative or nonperturbative approximation can give rise to a linear term in the SU(2) effective potential, since such a term would not be gauge invariant. Finally, contour plots of the SU(3) [ital A][sub 0] effective potential are presented.

• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6643962
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 47:4; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

663300* -- Nuclear Reactions & Scattering
General-- (1992-)
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CHARGED-PARTICLE REACTIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
HEAVY ION REACTIONS
INCLUSIVE INTERACTIONS
INTERACTIONS
LIE GROUPS
NUCLEAR REACTIONS
NUCLEAR TEMPERATURE
PARTICLE INTERACTIONS
PHASE TRANSFORMATIONS
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
RELATIVISTIC RANGE
SCREENING
SU GROUPS
SU-2 GROUPS
SU-3 GROUPS
SUM RULES
SYMMETRY GROUPS