1,534 research outputs found
Gauge Dependence of the Resummed Thermal Gluon Self Energy
The gauge dependence of the hot gluon self energy is examined in the context
of Pisarski's method for resumming hard thermal loops. Braaten and Pisarski
have used the Ward identities satisfied by the hard corrections to the n-point
functions to argue the gauge fixing independence of the leading order resummed
QCD plasma damping rate in covariant and strict Coulomb gauges. We extend their
analysis to include all linear gauges that preserve rotational invariance and
display explicitly the conditions required for gauge fixing independence. It is
shown that in covariant gauges the resummed damping constant is gauge fixing
independent only if an infrared regulator is explicitly maintained throughout
the calculation.Comment: 29 pages, report BI-TP 92/19, LPTHE-Orsay 92/32, WIN-TH-92/02 (June
1992
Comment on ``Damping of energetic gluons and quarks in high-temperature QCD''
Burgess and Marini have recently pointed out that the leading contribution to
the damping rate of energetic gluons and quarks in the QCD plasma, given by
, can be obtained by simple arguments obviating the need
of a fully resummed perturbation theory as developed by Braaten and Pisarski.
Their calculation confirmed previous results of Braaten and Pisarski, but
contradicted those proposed by Lebedev and Smilga. While agreeing with the
general considerations made by Burgess and Marini, I correct their actual
calculation of the damping rates, which is based on a wrong expression for the
static limit of the resummed gluon propagator. The effect of this, however,
turns out to be cancelled fortuitously by another mistake, so as to leave all
of their conclusions unchanged. I also verify the gauge independence of the
results, which in the corrected calculation arises in a less obvious manner.Comment: 5 page
Hard Thermal Loops, Gauged WZNW Action and the Energy of Hot Quark-Gluon Plasma
The generating functional for hard thermal loops in QCD is rewritten in terms
of a gauged WZNW action by introducing an auxiliary field. This shows in a
simple way that the contribution of hard thermal loops to the energy of the
quark-gluon plasma is positive.Comment: 9 pages, CU-TP 60
Comment on ``High Temperature Fermion Propagator -- Resummation and Gauge Dependence of the Damping Rate''
Baier et al. have reported the damping rate of long-wavelength fermionic
excitations in high-temperature QED and QCD to be gauge-fixing-dependent even
within the resummation scheme due to Braaten and Pisarski. It is shown that
this problem is caused by the singular nature of the on-shell expansion of the
fermion self-energy in the infra-red. Its regularization reveals that the
alleged gauge dependence pertains to the residue rather than the pole of the
fermion propagator, so that in particular the damping constant comes out
gauge-independent, as it should.Comment: 5 page
Hard Thermal Loops and the Sphaleron Rate on the Lattice
We measure the sphaleron rate (topological susceptibility) of hot SU(2) gauge
theory, using a lattice implementation of the hard thermal loop (HTL) effective
action. The HTL degrees of freedom are implemented by an expansion in spherical
harmonics and truncation. Our results for the sphaleron rate agree with the
parametric prediction of Arnold, Son and Yaffe: Gamma ~ \alpha^5 T^4.Comment: 3 page
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