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arXiv · 1706.08091

The static hard-loop gluon propagator to all orders in anisotropy

Mohammad Nopoush·Yun Guo·Michael Strickland
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Abstract

We calculate the (semi-)static hard-loop self-energy and propagator using the Keldysh formalism in a momentum-space anisotropic quark-gluon plasma. The static retarded, advanced, and Feynman (symmetric) self-energies and propagators are calculated to all orders in the momentum-space anisotropy parameter $ξ$. For the retarded and advanced self-energies/propagators, we present a concise derivation and comparison with previously-obtained results and extend the calculation of the self-energies to next-to-leading order in the gluon energy, $ω$. For the Feynman self-energy/propagator, we present new results which are accurate to all orders in $ξ$. We compare our exact results with prior expressions for the Feynman self-energy/propagator which were obtained using Taylor-expansions around an isotropic state. We show that, unlike the Taylor-expanded results, the all-orders expression for the Feynman propagator is free from infrared singularities. Finally, we discuss the application of our results to the calculation of the imaginary-part of the heavy-quark potential in an anisotropic quark-gluon plasma.

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Mohammad Nopoush, Yun Guo, Michael Strickland. 2017-06-25. The static hard-loop gluon propagator to all orders in anisotropy. https://doi.org/10.1007/jhep09(2017)063

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