The static hardloop gluon propagator to all orders in anisotropy
We calculate the (semi)static hardloop selfenergy and propagator using the Keldysh formalism in a momentumspace anisotropic quarkgluon plasma. The static retarded, advanced, and Feynman (symmetric) selfenergies and propagators are calculated to all orders in the momentumspace anisotropy parameter ξ. For the retarded and advanced selfenergies/propagators, we present a concise derivation and comparison with previouslyobtained results and extend the calculation of the selfenergies to nexttoleading order in the gluon energy, ω. For the Feynman selfenergy/propagator, we present new results which are accurate to all orders in ξ. We compare our exact results with prior expressions for the Feynman selfenergy/propagator which were obtained using Taylorexpansions around an isotropic state. Here, we show that, unlike the Taylorexpanded results, the allorders expression for the Feynman propagator is free from infrared singularities. Finally, we discuss the application of our results to the calculation of the imaginarypart of the heavyquark potential in an anisotropic quarkgluon plasma.
 Authors:

^{[1]};
^{[2]};
^{[1]}
 Kent State Univ., Kent, OH (United States). Dept. of Physics
 Guangxi Normal Univ., Guilin (China). Dept. of Physics
 Publication Date:
 Grant/Contract Number:
 SC0013470
 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 10298479
 Publisher:
 Springer Berlin
 Research Org:
 Kent State Univ., Kent, OH (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26); National Natural Science Foundation of China (NNSFC)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Heavy Quark Physics; QuarkGluon Plasma; Resummation
 OSTI Identifier:
 1425670
Nopoush, Mohammad, Guo, Yun, and Strickland, Michael. The static hardloop gluon propagator to all orders in anisotropy. United States: N. p.,
Web. doi:10.1007/JHEP09(2017)063.
Nopoush, Mohammad, Guo, Yun, & Strickland, Michael. The static hardloop gluon propagator to all orders in anisotropy. United States. doi:10.1007/JHEP09(2017)063.
Nopoush, Mohammad, Guo, Yun, and Strickland, Michael. 2017.
"The static hardloop 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 hardloop gluon propagator to all orders in anisotropy},
author = {Nopoush, Mohammad and Guo, Yun and Strickland, Michael},
abstractNote = {We calculate the (semi)static hardloop selfenergy and propagator using the Keldysh formalism in a momentumspace anisotropic quarkgluon plasma. The static retarded, advanced, and Feynman (symmetric) selfenergies and propagators are calculated to all orders in the momentumspace anisotropy parameter ξ. For the retarded and advanced selfenergies/propagators, we present a concise derivation and comparison with previouslyobtained results and extend the calculation of the selfenergies to nexttoleading order in the gluon energy, ω. For the Feynman selfenergy/propagator, we present new results which are accurate to all orders in ξ. We compare our exact results with prior expressions for the Feynman selfenergy/propagator which were obtained using Taylorexpansions around an isotropic state. Here, we show that, unlike the Taylorexpanded results, the allorders expression for the Feynman propagator is free from infrared singularities. Finally, we discuss the application of our results to the calculation of the imaginarypart of the heavyquark potential in an anisotropic quarkgluon 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}
}