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

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:

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

Publication Date:: Fri Sep 15 00:00:00 EDT 2017

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

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

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.

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                    Nopoush, Mohammad, Guo, Yun, & Strickland, Michael. The static hard-loop gluon propagator to all orders in anisotropy.  United States.  https://doi.org/10.1007/JHEP09(2017)063

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                    Nopoush, Mohammad, Guo, Yun, and Strickland, Michael. Fri .  
"The static hard-loop gluon propagator to all orders in anisotropy".  United States.  https://doi.org/10.1007/JHEP09(2017)063.  https://www.osti.gov/servlets/purl/1425670.

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@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         = {Fri Sep 15 00:00:00 EDT 2017},

  month        = {Fri Sep 15 00:00:00 EDT 2017}

}

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Works referenced in this record:

Dynamics of quark-gluon-plasma instabilities in discretized hard-loop approximation
journal, September 2005

Rebhan, Anton; Romatschke, Paul; Strickland, Michael
Journal of High Energy Physics, Vol. 2005, Issue 09
DOI: 10.1088/1126-6708/2005/09/041

Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
journal, September 2007

Laine, Mikko; Philipsen, Owe; Tassler, Marcus
Journal of High Energy Physics, Vol. 2007, Issue 09
DOI: 10.1088/1126-6708/2007/09/066

Heavy-flavour and quarkonium production in the LHC era: from proton–proton to heavy-ion collisions
journal, February 2016

Andronic, A.; Arleo, F.; Arnaldi, R.
The European Physical Journal C, Vol. 76, Issue 3
DOI: 10.1140/epjc/s10052-015-3819-5

Model of the effect of collisions on QCD plasma instabilities
journal, June 2006

Schenke, Björn; Strickland, Michael; Greiner, Carsten
Physical Review D, Vol. 73, Issue 12
DOI: 10.1103/PhysRevD.73.125004

Ultraviolet avalanche in anisotropic non-Abelian plasmas
journal, January 2007

Dumitru, Adrian; Nara, Yasushi; Strickland, Michael
Physical Review D, Vol. 75, Issue 2
DOI: 10.1103/PhysRevD.75.025016

Quarkonia in the Quark Gluon Plasma
journal, April 2013

MÓCsy, ÁGnes; Petreczky, PÉTer; Strickland, Michael
International Journal of Modern Physics A, Vol. 28, Issue 11
DOI: 10.1142/S0217751X13400125

Bottomonia suppression in 2.76 TeV Pb-Pb collisions
journal, December 2015

Krouppa, Brandon; Ryblewski, Radoslaw; Strickland, Michael
Physical Review C, Vol. 92, Issue 6
DOI: 10.1103/PhysRevC.92.061901

Real-time static potential in hot QCD
journal, March 2007

Laine, Mikko; Philipsen, Owe; Tassler, Marcus
Journal of High Energy Physics, Vol. 2007, Issue 03
DOI: 10.1088/1126-6708/2007/03/054

Turbulent spectrum created by non-Abelian plasma instabilities
journal, January 2006

Arnold, Peter; Moore, Guy D.
Physical Review D, Vol. 73, Issue 2
DOI: 10.1103/PhysRevD.73.025013

Color instabilities in the quark–gluon plasma
journal, April 2017

Mrówczyński, Stanisław; Schenke, Björn; Strickland, Michael
Physics Reports, Vol. 682
DOI: 10.1016/j.physrep.2017.03.003

Equilibrium and non-equilibrium hard thermal loop resummation in the real time formalism
journal, February 1999

Carrington, M. E.; Defu, H.; Thoma, M. H.
The European Physical Journal C, Vol. 7, Issue 2
DOI: 10.1007/s100529800996

Collective modes of an anisotropic quark-gluon plasma: II
journal, December 2004

Romatschke, Paul; Strickland, Michael
Physical Review D, Vol. 70, Issue 11
DOI: 10.1103/PhysRevD.70.116006

Anisotropic Hydrodynamics: Three Lectures
journal, January 2014

Strickland, M.
Acta Physica Polonica B, Vol. 45, Issue 12
DOI: 10.5506/APhysPolB.45.2355

Collective modes of an anisotropic quark-gluon plasma
journal, August 2003

Romatschke, Paul; Strickland, Michael
Physical Review D, Vol. 68, Issue 3
DOI: 10.1103/PhysRevD.68.036004

Thermal bottomonium suppression at RHIC and LHC
journal, April 2012

Strickland, Michael; Bazow, Dennis
Nuclear Physics A, Vol. 879
DOI: 10.1016/j.nuclphysa.2012.02.003

Quarkonium dissociation in the presence of a small momentum space anisotropy
journal, July 2009

Burnier, Y.; Laine, M.; Vepsäläinen, M.
Physics Letters B, Vol. 678, Issue 1
DOI: 10.1016/j.physletb.2009.05.067

Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions
journal, August 2016

Krouppa, Brandon; Strickland, Michael
Universe, Vol. 2, Issue 3
DOI: 10.3390/universe2030016

Dissipative dynamics of highly anisotropic systems
journal, December 2010

Martinez, Mauricio; Strickland, Michael
Nuclear Physics A, Vol. 848, Issue 1-2
DOI: 10.1016/j.nuclphysa.2010.08.011

The heavy-quark potential in an anisotropic plasma
journal, April 2008

Dumitru, Adrian; Guo, Yun; Strickland, Michael
Physics Letters B, Vol. 662, Issue 1
DOI: 10.1016/j.physletb.2008.02.048

Thermal $Υ (1 s)$ and $χ_{b 1}$ Suppression at $\sqrt{(} s_{N N}) = 2.76 TeV$ Pb-Pb Collisions at the LHC
journal, September 2011

Strickland, Michael
Physical Review Letters, Vol. 107, Issue 13
DOI: 10.1103/PhysRevLett.107.132301

$(3 + 1) D$ Quasiparticle Anisotropic Hydrodynamics for Ultrarelativistic Heavy-Ion Collisions
journal, July 2017

Alqahtani, Mubarak; Nopoush, Mohammad; Ryblewski, Radoslaw
Physical Review Letters, Vol. 119, Issue 4
DOI: 10.1103/PhysRevLett.119.042301

Anisotropic hydrodynamics for conformal Gubser flow
journal, December 2016

Strickland, Michael; Nopoush, Mohammad; Ryblewski, Radoslaw
Nuclear Physics A, Vol. 956
DOI: 10.1016/j.nuclphysa.2016.02.014

Hard loop approach to anisotropic systems
journal, July 2000

Mrówczyński, Stanisław; Thoma, Markus H.
Physical Review D, Vol. 62, Issue 3
DOI: 10.1103/PhysRevD.62.036011

QCD plasma instabilities: The non-Abelian cascade
journal, January 2006

Arnold, Peter; Moore, Guy D.
Physical Review D, Vol. 73, Issue 2
DOI: 10.1103/PhysRevD.73.025006

Bulk viscous corrections to screening and damping in QCD at high temperatures
journal, January 2017

Du, Qianqian; Dumitru, Adrian; Guo, Yun
Journal of High Energy Physics, Vol. 2017, Issue 1
DOI: 10.1007/JHEP01(2017)123

Thermalization and the chromo-Weibel instability
journal, July 2007

Strickland, Michael
Journal of Physics G: Nuclear and Particle Physics, Vol. 34, Issue 8
DOI: 10.1088/0954-3899/34/8/S31

Works referencing / citing this record:

Heavy quarkonium suppression beyond the adiabatic limit
journal, October 2019

Boyd, Jacob; Cook, Thomas; Islam, Ajaharul
Physical Review D, Vol. 100, Issue 7
DOI: 10.1103/physrevd.100.076019

General structure of gauge boson propagator and its spectra in a hot magnetized medium
journal, August 2019

Karmakar, Bithika; Bandyopadhyay, Aritra; Haque, Najmul
The European Physical Journal C, Vol. 79, Issue 8
DOI: 10.1140/epjc/s10052-019-7154-0

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Similar Records

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

Abstract

Citation Formats

Dynamics of quark-gluon-plasma instabilities in discretized hard-loop approximation journal, September 2005

Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations journal, September 2007

Heavy-flavour and quarkonium production in the LHC era: from proton–proton to heavy-ion collisions journal, February 2016

Model of the effect of collisions on QCD plasma instabilities journal, June 2006

Ultraviolet avalanche in anisotropic non-Abelian plasmas journal, January 2007

Quarkonia in the Quark Gluon Plasma journal, April 2013

Bottomonia suppression in 2.76 TeV Pb-Pb collisions journal, December 2015

Real-time static potential in hot QCD journal, March 2007

Turbulent spectrum created by non-Abelian plasma instabilities journal, January 2006

Color instabilities in the quark–gluon plasma journal, April 2017

Equilibrium and non-equilibrium hard thermal loop resummation in the real time formalism journal, February 1999

Collective modes of an anisotropic quark-gluon plasma: II journal, December 2004

Anisotropic Hydrodynamics: Three Lectures journal, January 2014

Collective modes of an anisotropic quark-gluon plasma journal, August 2003

Thermal bottomonium suppression at RHIC and LHC journal, April 2012

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Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions journal, August 2016

Dissipative dynamics of highly anisotropic systems journal, December 2010

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Anisotropic hydrodynamics for conformal Gubser flow journal, December 2016

Hard loop approach to anisotropic systems journal, July 2000

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Bulk viscous corrections to screening and damping in QCD at high temperatures journal, January 2017

Thermalization and the chromo-Weibel instability journal, July 2007

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Dynamics of quark-gluon-plasma instabilities in discretized hard-loop approximation
journal, September 2005

Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations
journal, September 2007

Heavy-flavour and quarkonium production in the LHC era: from proton–proton to heavy-ion collisions
journal, February 2016

Model of the effect of collisions on QCD plasma instabilities
journal, June 2006

Ultraviolet avalanche in anisotropic non-Abelian plasmas
journal, January 2007

Quarkonia in the Quark Gluon Plasma
journal, April 2013

Bottomonia suppression in 2.76 TeV Pb-Pb collisions
journal, December 2015

Real-time static potential in hot QCD
journal, March 2007

Turbulent spectrum created by non-Abelian plasma instabilities
journal, January 2006

Color instabilities in the quark–gluon plasma
journal, April 2017

Equilibrium and non-equilibrium hard thermal loop resummation in the real time formalism
journal, February 1999

Collective modes of an anisotropic quark-gluon plasma: II
journal, December 2004

Anisotropic Hydrodynamics: Three Lectures
journal, January 2014

Collective modes of an anisotropic quark-gluon plasma
journal, August 2003

Thermal bottomonium suppression at RHIC and LHC
journal, April 2012

Quarkonium dissociation in the presence of a small momentum space anisotropy
journal, July 2009

Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions
journal, August 2016

Dissipative dynamics of highly anisotropic systems
journal, December 2010

The heavy-quark potential in an anisotropic plasma
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Thermal $Υ (1 s)$ and $χ_{b 1}$ Suppression at $\sqrt{(} s_{N N}) = 2.76 TeV$ Pb-Pb Collisions at the LHC
journal, September 2011

$(3 + 1) D$ Quasiparticle Anisotropic Hydrodynamics for Ultrarelativistic Heavy-Ion Collisions
journal, July 2017

Anisotropic hydrodynamics for conformal Gubser flow
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Hard loop approach to anisotropic systems
journal, July 2000

QCD plasma instabilities: The non-Abelian cascade
journal, January 2006

Bulk viscous corrections to screening and damping in QCD at high temperatures
journal, January 2017

Thermalization and the chromo-Weibel instability
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Heavy quarkonium suppression beyond the adiabatic limit
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