Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-08-10
Phys.Rev.D52:7208-7219,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
30 pages, revtex format, 9 postscript figures included using epsf.sty
Scientific paper
10.1103/PhysRevD.52.7208
In quantum electrodynamics, static electric fields are screened at non-zero temperatures by charges in the plasma. The inverse screening length, or Debye mass, may be analyzed in perturbation theory and is of order $eT$ at relativistic temperatures. An analogous situation occurs when non-Abelian gauge theories are studied perturbatively, but the perturbative analysis breaks down when corrections of order $e^2 T$ are considered. At this order, the Debye mass depends on the non-perturbative physics of confinement, and a perturbative ``definition'' of the Debye mass as the pole of a gluon propagator does not even make sense. In this work, we show how the Debye mass can be defined non-perturbatively in a manifestly gauge invariant manner (in vector-like gauge theories with zero chemical potential). In addition, we show how the $O(e^2 T)$ correction could be determined by a fairly simple, three-dimensional, numerical lattice calculation of the perimeter-law behavior of large, adjoint-charge Wilson loops.
Arnold Peter
Yaffe Laurence G.
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