The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics

Boguslavski, Kirill; Kasmaei, Babak S.; Strickland, Michael

doi:10.1007/jhep10(2021)083

The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics

Journal Article · Tue Oct 12 00:00:00 EDT 2021 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2021)083· OSTI ID:1976558

Boguslavski, Kirill ^[1]; Kasmaei, Babak S. ^[2]; ^[2]

Technical Univ. of Vienna (Austria); The ALICE collaboration
Kent State Univ., Kent, OH (United States)

We extract the imaginary part of the heavy-quark potential using classical-statistical simulations of real-time Yang-Mills dynamics in classical thermal equilibrium. The r-dependence of the imaginary part of the potential is extracted by measuring the temporal decay of Wilson loops of spatial length r. We compare our results to continuum expressions obtained using hard thermal loop theory and to semi-analytic lattice perturbation theory calculations using the hard classical loop formalism. We find that, when plotted as a function of m_Dr, where m_D is the hard classical loop Debye mass, the imaginary part of the heavy-quark potential shows little sensitivity to the lattice spacing at small m_Dr ≲ 1 and agrees well with the semi-analytic hard classical loop result. For large quark-antiquark separations, we quantify the magnitude of the non-perturbative long-range corrections to the imaginary part of the heavy-quark potential. We present our results for a wide range of temperatures, lattice spacings, and lattice volumes. This work sets the stage for extracting the imaginary part of the heavy-quark potential in an expanding non-equilibrium Yang Mills plasma.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0013470

OSTI ID:: 1976558

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2021; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

References (68)

On the generators of quantum dynamical semigroups Lindblad, G. Communications in Mathematical Physics, Vol. 48, Issue 2 https://doi.org/10.1007/BF01608499	journal	June 1976
Bottomonium suppression and elliptic flow using Heavy Quarkonium Quantum Dynamics Islam, Ajaharul; Strickland, Michael Journal of High Energy Physics, Vol. 2021, Issue 3 https://doi.org/10.1007/JHEP03(2021)235	journal	March 2021
Basin of attraction for turbulent thermalization and the range of validity of classical-statistical simulations Berges, J.; Boguslavski, K.; Schlichting, S. Journal of High Energy Physics, Vol. 2014, Issue 5 https://doi.org/10.1007/JHEP05(2014)054	journal	May 2014
Bottomonium suppression in an open quantum system using the quantum trajectories method Brambilla, Nora; Escobedo, Miguel Ángel; Strickland, Michael Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)136	journal	May 2021
Broad excitations in a 2+1D overoccupied gluon plasma Boguslavski, K.; Kurkela, A.; Lappi, T. Journal of High Energy Physics, Vol. 2021, Issue 5 https://doi.org/10.1007/JHEP05(2021)225	journal	May 2021
Quantum and classical dynamics of heavy quarks in a quark-gluon plasma Blaizot, Jean-Paul; Escobedo, Miguel Angel Journal of High Energy Physics, Vol. 2018, Issue 6 https://doi.org/10.1007/JHEP06(2018)034	journal	June 2018
Proper static potential in classical lattice gauge theory at finite T Lehmann, Alexander; Rothkopf, Alexander Journal of High Energy Physics, Vol. 2021, Issue 7 https://doi.org/10.1007/JHEP07(2021)067	journal	July 2021
The static hard-loop gluon propagator to all orders in anisotropy Nopoush, Mohammad; Guo, Yun; Strickland, Michael Journal of High Energy Physics, Vol. 2017, Issue 9 https://doi.org/10.1007/JHEP09(2017)063	journal	September 2017
In-medium P-wave quarkonium from the complex lattice QCD potential Burnier, Yannis; Kaczmarek, Olaf; Rothkopf, Alexander Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)032	journal	October 2016
A new algorithm for adaptive multidimensional integration Peter Lepage, G. Journal of Computational Physics, Vol. 27, Issue 2 https://doi.org/10.1016/0021-9991(78)90004-9	journal	May 1978
Bound states of quarks Lucha, W. Physics Reports, Vol. 200, Issue 4 https://doi.org/10.1016/0370-1573(91)90001-3	journal	February 1991
The classical sphaleron transition rate exists and is equal to 1.1(αwT)4 Ambjørn, J.; Krasnitz, A. Physics Letters B, Vol. 362, Issue 1-4 https://doi.org/10.1016/0370-2693(95)01157-L	journal	November 1995
Soliton pair creation at finite temperatures Grigoriev, D. Yu.; Rubakov, V. A. Nuclear Physics B, Vol. 299, Issue 1 https://doi.org/10.1016/0550-3213(88)90466-X	journal	March 1988
Sphaleron transitions and baryon asymmetry: A numerical, real-time analysis Ambjørn, J.; Askgaard, T.; Porter, H. Nuclear Physics B, Vol. 353, Issue 2 https://doi.org/10.1016/0550-3213(91)90341-T	journal	April 1991
A lattice Monte Carlo study of the hot electroweak phase transition Kajantie, K.; Rummukainen, K.; Shaposhnikov, M. Nuclear Physics B, Vol. 407, Issue 2 https://doi.org/10.1016/0550-3213(93)90062-T	journal	October 1993
Thermalization algorithms for classical gauge theories Krasnitz, A. Nuclear Physics B, Vol. 455, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00465-5	journal	November 1995
Color filamentation in ultrarelativistic heavy-ion collisions Mrówczyński, Stanisław Physics Letters B, Vol. 393, Issue 1-2 https://doi.org/10.1016/S0370-2693(96)01621-8	journal	February 1997
Static correlation lengths in QCD at high temperatures and finite densities Hart, A.; Laine, M.; Philipsen, O. Nuclear Physics B, Vol. 586, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00418-1	journal	October 2000
Motion of Chern-Simons number at high temperatures under a chemical potential Moore, Guy D. Nuclear Physics B, Vol. 480, Issue 3 https://doi.org/10.1016/S0550-3213(96)00445-2	journal	December 1996
Improved determination of the classical sphaleron transition rate Ambjørn, J.; Krasnitz, A. Nuclear Physics B, Vol. 506, Issue 1-2 https://doi.org/10.1016/S0550-3213(97)00524-5	journal	November 1997
The Schrödinger–Langevin equation with and without thermal fluctuations Katz, R.; Gossiaux, P. B. Annals of Physics, Vol. 368 https://doi.org/10.1016/j.aop.2016.02.005	journal	May 2016
Cuba—a library for multidimensional numerical integration Hahn, T. Computer Physics Communications, Vol. 168, Issue 2 https://doi.org/10.1016/j.cpc.2005.01.010	journal	June 2005
Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator Ålund, Oskar; Akamatsu, Yukinao; Laurén, Fredrik Journal of Computational Physics, Vol. 425 https://doi.org/10.1016/j.jcp.2020.109917	journal	January 2021
ϒ Production in Heavy-Ion Collisions from the STAR Experiment Ye, Zaochen Nuclear and Particle Physics Proceedings, Vol. 289-290 https://doi.org/10.1016/j.nuclphysbps.2017.05.093	journal	August 2017
The heavy-quark potential in an anisotropic plasma Dumitru, Adrian; Guo, Yun; Strickland, Michael Physics Letters B, Vol. 662, Issue 1 https://doi.org/10.1016/j.physletb.2008.02.048	journal	April 2008
Quarkonium dissociation in the presence of a small momentum space anisotropy Burnier, Y.; Laine, M.; Vepsäläinen, M. Physics Letters B, Vol. 678, Issue 1 https://doi.org/10.1016/j.physletb.2009.05.067	journal	July 2009
A gauge invariant Debye mass and the complex heavy-quark potential Burnier, Yannis; Rothkopf, Alexander Physics Letters B, Vol. 753 https://doi.org/10.1016/j.physletb.2015.12.031	journal	February 2016
Bottomonium suppression and elliptic flow from real-time quantum evolution Islam, Ajaharul; Strickland, Michael Physics Letters B, Vol. 811 https://doi.org/10.1016/j.physletb.2020.135949	journal	December 2020
Completely positive dynamical semigroups of N-level systems Gorini, Vittorio Journal of Mathematical Physics, Vol. 17, Issue 5 https://doi.org/10.1063/1.522979	journal	January 1976
Chern-Simons number asymmetry from CP violation at electroweak tachyonic preheating Smit, Jan; Tranberg, Anders Journal of High Energy Physics, Vol. 2002, Issue 12 https://doi.org/10.1088/1126-6708/2002/12/020	journal	December 2002
QCD plasma instabilities and bottom-up thermalization Arnold, Peter; Lenaghan, Jonathan; Moore, Guy D. Journal of High Energy Physics, Vol. 2003, Issue 08 https://doi.org/10.1088/1126-6708/2003/08/002	journal	August 2003
Real-time static potential in hot QCD Laine, Mikko; Philipsen, Owe; Tassler, Marcus Journal of High Energy Physics, Vol. 2007, Issue 03 https://doi.org/10.1088/1126-6708/2007/03/054	journal	March 2007
Thermal imaginary part of a real-time static potential from classical lattice gauge theory simulations Laine, Mikko; Philipsen, Owe; Tassler, Marcus Journal of High Energy Physics, Vol. 2007, Issue 09 https://doi.org/10.1088/1126-6708/2007/09/066	journal	September 2007
Modeling the nonperturbative contributions to the complex heavy-quark potential Guo, Yun; Dong, Lihua; Pan, Jisi Physical Review D, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevD.100.036011	journal	August 2019
Highly occupied gauge theories in 2 + 1 dimensions: A self-similar attractor Boguslavski, K.; Kurkela, A.; Lappi, T. Physical Review D, Vol. 100, Issue 9 https://doi.org/10.1103/PhysRevD.100.094022	journal	November 2019
Nonperturbative potential for the study of quarkonia in QGP Bala, Dibyendu; Datta, Saumen Physical Review D, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevD.101.034507	journal	February 2020
Shear viscosity of a classical Yang-Mills field Matsuda, Hidefumi; Kunihiro, Teiji; Müller, Berndt Physical Review D, Vol. 102, Issue 11 https://doi.org/10.1103/PhysRevD.102.114503	journal	December 2020
Interaction potential between heavy Q Q ¯ in a color octet configuration in the QGP from a study of hybrid Wilson loops Bala, Dibyendu; Datta, Saumen Physical Review D, Vol. 103, Issue 1 https://doi.org/10.1103/PhysRevD.103.014512	journal	January 2021
Charmonium: Comparison with experiment Eichten, E.; Gottfried, K.; Kinoshita, T. Physical Review D, Vol. 21, Issue 1 https://doi.org/10.1103/PhysRevD.21.203	journal	January 1980
Really computing nonperturbative real time correlation functions Bödeker, Dietrich; McLerran, Larry; Smilga, Andrei Physical Review D, Vol. 52, Issue 8 https://doi.org/10.1103/PhysRevD.52.4675	journal	October 1995
The hot baryon violation rate is O ( α w 5 T 4 ) Arnold, Peter; Son, Dam; Yaffe, Laurence G. Physical Review D, Vol. 55, Issue 10 https://doi.org/10.1103/PhysRevD.55.6264	journal	May 1997
HotBviolation, the lattice, and hard thermal loops Arnold, Peter Physical Review D, Vol. 55, Issue 12 https://doi.org/10.1103/PhysRevD.55.7781	journal	June 1997
Classical sphaleron rate on fine lattices Moore, Guy D.; Rummukainen, Kari Physical Review D, Vol. 61, Issue 10 https://doi.org/10.1103/PhysRevD.61.105008	journal	April 2000
Collective modes of an anisotropic quark-gluon plasma Romatschke, Paul; Strickland, Michael Physical Review D, Vol. 68, Issue 3 https://doi.org/10.1103/PhysRevD.68.036004	journal	August 2003
Static quark-antiquark pairs at finite temperature Brambilla, Nora; Ghiglieri, Jacopo; Vairo, Antonio Physical Review D, Vol. 78, Issue 1 https://doi.org/10.1103/PhysRevD.78.014017	journal	July 2008
Quarkonium states in an anisotropic QCD plasma Dumitru, Adrian; Guo, Yun; Mócsy, Ágnes Physical Review D, Vol. 79, Issue 5 https://doi.org/10.1103/PhysRevD.79.054019	journal	March 2009
Imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma Dumitru, Adrian; Guo, Yun; Strickland, Michael Physical Review D, Vol. 79, Issue 11 https://doi.org/10.1103/PhysRevD.79.114003	journal	June 2009
Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order Brambilla, Nora; Ghiglieri, Jacopo; Petreczky, Péter Physical Review D, Vol. 82, Issue 7 https://doi.org/10.1103/PhysRevD.82.074019	journal	October 2010
Quarkonium states in a complex-valued potential Margotta, Matthew; McCarty, Kyle; McGahan, Christina Physical Review D, Vol. 83, Issue 10 https://doi.org/10.1103/PhysRevD.83.105019	journal	May 2011
Stochastic potential and quantum decoherence of heavy quarkonium in the quark-gluon plasma Akamatsu, Yukinao; Rothkopf, Alexander Physical Review D, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevD.85.105011	journal	May 2012
Disentangling the timescales behind the nonperturbative heavy quark potential Burnier, Yannis; Rothkopf, Alexander Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.051503	journal	September 2012
Ultraviolet cascade in classical Yang-Mills theory Kurkela, Aleksi; Moore, Guy D. Physical Review D, Vol. 86, Issue 5 https://doi.org/10.1103/PhysRevD.86.056008	journal	September 2012
Real-time quantum dynamics of heavy-quark systems at high temperature Akamatsu, Yukinao Physical Review D, Vol. 87, Issue 4 https://doi.org/10.1103/PhysRevD.87.045016	journal	February 2013
Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies Berges, J.; Boguslavski, K.; Schlichting, S. Physical Review D, Vol. 89, Issue 7 https://doi.org/10.1103/PhysRevD.89.074011	journal	April 2014
Universal attractor in a highly occupied non-Abelian plasma Berges, J.; Boguslavski, K.; Schlichting, S. Physical Review D, Vol. 89, Issue 11 https://doi.org/10.1103/PhysRevD.89.114007	journal	June 2014
Nonrenormalizability of the classical statistical approximation Epelbaum, Thomas; Gelis, François; Wu, Bin Physical Review D, Vol. 90, Issue 6 https://doi.org/10.1103/PhysRevD.90.065029	journal	September 2014
Heavy quark master equations in the Lindblad form at high temperatures Akamatsu, Yukinao Physical Review D, Vol. 91, Issue 5 https://doi.org/10.1103/PhysRevD.91.056002	journal	March 2015
Complex heavy-quark potential and Debye mass in a gluonic medium from lattice QCD Burnier, Yannis; Rothkopf, Alexander Physical Review D, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevD.95.054511	journal	March 2017
Quarkonium suppression in heavy-ion collisions: An open quantum system approach Brambilla, Nora; Escobedo, Miguel A.; Soto, Joan Physical Review D, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevD.96.034021	journal	August 2017
Dynamical dissociation of quarkonia by wave function decoherence Kajimoto, Shiori; Akamatsu, Yukinao; Asakawa, Masayuki Physical Review D, Vol. 97, Issue 1 https://doi.org/10.1103/PhysRevD.97.014003	journal	January 2018
Heavy quarkonium suppression in a fireball Brambilla, Nora; Escobedo, Miguel A.; Soto, Joan Physical Review D, Vol. 97, Issue 7 https://doi.org/10.1103/PhysRevD.97.074009	journal	April 2018
Spectral function for overoccupied gluodynamics from real-time lattice simulations Boguslavski, K.; Kurkela, A.; Lappi, T. Physical Review D, Vol. 98, Issue 1 https://doi.org/10.1103/PhysRevD.98.014006	journal	July 2018
Approach to equilibrium of a quarkonium in a quark-gluon plasma Blaizot, Jean-Paul; Escobedo, Miguel Angel Physical Review D, Vol. 98, Issue 7 https://doi.org/10.1103/PhysRevD.98.074007	journal	October 2018
Quarkonium in-medium transport equation derived from first principles Yao, Xiaojun; Mehen, Thomas Physical Review D, Vol. 99, Issue 9 https://doi.org/10.1103/PhysRevD.99.096028	journal	May 2019
Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD Rothkopf, Alexander; Hatsuda, Tetsuo; Sasaki, Shoichi Physical Review Letters, Vol. 108, Issue 16 https://doi.org/10.1103/PhysRevLett.108.162001	journal	April 2012
Bayesian Approach to Spectral Function Reconstruction for Euclidean Quantum Field Theories Burnier, Yannis; Rothkopf, Alexander Physical Review Letters, Vol. 111, Issue 18 https://doi.org/10.1103/PhysRevLett.111.182003	journal	October 2013
Effective-field theories for heavy quarkonium Brambilla, Nora; Pineda, Antonio; Soto, Joan Reviews of Modern Physics, Vol. 77, Issue 4 https://doi.org/10.1103/RevModPhys.77.1423	journal	December 2005
Proper heavy-quark potential in a spectral decomposition from the thermal Wilson loop Rothkopf, A. K. Proceedings of The XXVII International Symposium on Lattice Field Theory — PoS(LAT2009) https://doi.org/10.22323/1.091.0162	conference	June 2010

Similar Records

Two-loop HTL-resummed thermodynamics for $\mathcal{N}$ = 4 supersymmetric Yang-Mills theory

Journal Article · Thu Sep 03 20:00:00 EDT 2020 · Journal of High Energy Physics (Online) · OSTI ID:1715516

Heavy-quark potential at finite temperature using the holographic correspondence

Journal Article · Sun Nov 30 23:00:00 EST 2008 · Physical Review. D, Particles Fields · OSTI ID:21251037

Confinement: Understanding the relation between the Wilson loop and dual theories of long distance Yang-Mills theory

Journal Article · Thu Aug 01 00:00:00 EDT 1996 · Physical Review, D · OSTI ID:286854

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Physics
heavy quark physics
lattice QCD
quark-gluon plasma

The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics

Citation Formats

References (68)

Similar Records

Related Subjects