Hard thermal loops, to quadratic order, in the background of a spatial 't Hooft loop

Journal Article · Sat Aug 01 04:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.036004· OSTI ID:21322403

Hidaka, Yoshimasa ^[1]; Pisarski, Robert D ^[2]

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1. Department of Physics, Kyoto University, Sakyo-ku, Kyoto 606-8502 (Japan)
2. Department of Physics, Brookhaven National Laboratory, Upton, New York 11973 (United States)

We compute the simplest hard thermal loops for a spatial 't Hooft loop in the deconfined phase of a SU(N) gauge theory. We expand to quadratic order about a constant background field A{sub 0}=Q/g, where Q is a diagonal, color matrix and g is the gauge coupling constant. We analyze the problem in sufficient generality that the techniques developed can be applied to compute transport properties in a 'semi'-quark gluon plasma. Notably, computations are done using the double line notation at finite N. The quark self-energy is a Q-dependent thermal mass squared {approx}g{sup 2}T{sup 2}, where T is the temperature, times the same hard thermal loop as at Q=0. The gluon self-energy involves two pieces: a Q-dependent Debye mass squared, {approx}g{sup 2}T{sup 2}, times the same hard thermal loop as for Q=0, plus a new hard thermal loop {approx}g{sup 2}T{sup 3}, due to the color electric field generated by a spatial 't Hooft loop.

• OSTI ID: 21322403
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
97 MATHEMATICS AND COMPUTING
CALCULATION METHODS
COLOR MODEL
COMPUTERIZED SIMULATION
COUPLING CONSTANTS
ELECTRIC FIELDS
GAUGE INVARIANCE
GLUONS
QUARK MATTER
QUARKS
SELF-ENERGY
SU GROUPS
THERMAL MASS