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

Nopoush, Mohammad; Guo, Yun; Strickland, Michael

doi:10.1007/JHEP09(2017)063

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

Journal Article · Fri Sep 15 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP09(2017)063· OSTI ID:1425670

Nopoush, Mohammad ^[1]; Guo, Yun ^[2];

^[1]

Kent State Univ., Kent, OH (United States). Dept. of Physics
Guangxi Normal Univ., Guilin (China). Dept. of Physics

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.

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Research Organization:: Kent State Univ., Kent, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Natural Science Foundation of China (NSFC)

Grant/Contract Number:: SC0013470

OSTI ID:: 1425670

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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References (26)

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Model of the effect of collisions on QCD plasma instabilities Schenke, Björn; Strickland, Michael; Greiner, Carsten Physical Review D, Vol. 73, Issue 12 https://doi.org/10.1103/PhysRevD.73.125004	journal	June 2006
Ultraviolet avalanche in anisotropic non-Abelian plasmas Dumitru, Adrian; Nara, Yasushi; Strickland, Michael Physical Review D, Vol. 75, Issue 2 https://doi.org/10.1103/PhysRevD.75.025016	journal	January 2007
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Bottomonia suppression in 2.76 TeV Pb-Pb collisions Krouppa, Brandon; Ryblewski, Radoslaw; Strickland, Michael Physical Review C, Vol. 92, Issue 6 https://doi.org/10.1103/PhysRevC.92.061901	journal	December 2015
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Equilibrium and non-equilibrium hard thermal loop resummation in the real time formalism Carrington, M. E.; Defu, H.; Thoma, M. H. The European Physical Journal C, Vol. 7, Issue 2 https://doi.org/10.1007/s100529800996	journal	February 1999
Collective modes of an anisotropic quark-gluon plasma: II Romatschke, Paul; Strickland, Michael Physical Review D, Vol. 70, Issue 11 https://doi.org/10.1103/PhysRevD.70.116006	journal	December 2004
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General structure of gauge boson propagator and its spectra in a hot magnetized medium Karmakar, Bithika; Bandyopadhyay, Aritra; Haque, Najmul The European Physical Journal C, Vol. 79, Issue 8 https://doi.org/10.1140/epjc/s10052-019-7154-0	journal	August 2019

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Heavy Quark Physics
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Resummation

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

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