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A Slavnov-Taylor identity and equality of damping rates for static transverse and longitudinal gluons in hot QCD

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arxiv hep-ph/9907439 v1 pith:G6QFIFSF submitted 1999-07-21 hep-ph hep-th

M. Dirks , A. Niegawa , K. Okano This is my paper
classification hep-phhep-th
keywords dampinggammaidentityequalitygluonslongitudinalratesslavnov-taylor
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abstract

A Slavnov-Taylor identity is derived for the gluon polarization tensor in hot QCD. We evaluate its implications for damping of gluonic modes in the plasma. Applying the identity to next to the leading order in hard-thermal-loop resummed perturbation theory, we derive the expected equality of damping rates for static transverse and longitudinal (soft) gluons. This is of interest also in view of deviating recent reports of $\gamma_t(p=0)\neq\gamma_l(p=0)$ based on a direct calculation of $\gamma_l(p=0)$.

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