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

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 previouslyobtained 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. Here, 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.

Authors:
 [1];  [2]; ORCiD logo [1]
  1. Kent State Univ., Kent, OH (United States). Dept. of Physics
  2. Guangxi Normal Univ., Guilin (China). Dept. of Physics
Publication Date:
Research Org.:
Kent State Univ., Kent, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26); National Natural Science Foundation of China (NNSFC)
OSTI Identifier:
1425670
Grant/Contract Number:  
SC0013470
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Heavy Quark Physics; Quark-Gluon Plasma; Resummation

Citation Formats

Nopoush, Mohammad, Guo, Yun, and Strickland, Michael. The static hard-loop gluon propagator to all orders in anisotropy. United States: N. p., 2017. Web. doi:10.1007/JHEP09(2017)063.
Nopoush, Mohammad, Guo, Yun, & Strickland, Michael. The static hard-loop gluon propagator to all orders in anisotropy. United States. doi:10.1007/JHEP09(2017)063.
Nopoush, Mohammad, Guo, Yun, and Strickland, Michael. Fri . "The static hard-loop gluon propagator to all orders in anisotropy". United States. doi:10.1007/JHEP09(2017)063. https://www.osti.gov/servlets/purl/1425670.
@article{osti_1425670,
title = {The static hard-loop gluon propagator to all orders in anisotropy},
author = {Nopoush, Mohammad and Guo, Yun and Strickland, Michael},
abstractNote = {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 previouslyobtained 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. Here, 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.},
doi = {10.1007/JHEP09(2017)063},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}

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Cited by: 4 works
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