Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-06-09
Phys.Rev.D80:036004,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
51 pages, 10 figures; typos corrected
Scientific paper
10.1103/PhysRevD.80.036004
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_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, of order g^2T^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, of order g^2T^2, times the same hard thermal loop as for Q=0, plus a new hard thermal loop, of order g^2T^3, due to the color electric field generated by a spatial 't Hooft loop.
Hidaka Yoshimasa
Pisarski Robert D.
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