Heavy quark diffusion in an overoccupied gluon plasma

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Springer

Received: May Revised: August Accepted: August Published: September

11, 11, 12, 10,

2020 2020 2020 2020

K. Boguslavski,a A. Kurkela,b,c T. Lappid,e and J. Peuronf a

Institute for Theoretical Physics, Technische Universit¨ at Wien, Wiedner Hauptstraße 8-10/136, 1040 Vienna, Austria b Theoretical Physics Department, CERN, Geneva, Switzerland c Faculty of Science and Technology, University of Stavanger, Postboks 8600 Forus, 4036 Stavanger, Norway d Department of Physics, University of Jyv¨ askyl¨ a, P.O. Box 35, 40014 Jyv¨ askyl¨ a, Finland e Helsinki Institute of Physics, University of Helsinki, P.O. Box 64, 00014 Helsinki, Finland f European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Strada delle Tabarelle 286, I-38123 Villazzano (TN), Italy

E-mail: [email protected], [email protected], [email protected], [email protected] Abstract: We extract the heavy-quark diffusion coefficient κ and the resulting momentum broadening hp2 i in a far-from-equilibrium non-Abelian plasma. We find several features in the time dependence of the momentum broadening: a short initial rapid growth of hp2 i, followed by linear growth with time due to Langevin-type dynamics and damped oscillations around this growth at the plasmon frequency. We show that these novel oscillations are not easily explained using perturbative techniques but result from an excess of gluons at low momenta. These oscillation are therefore a gauge invariant confirmation of the infrared enhancement we had previously observed in gauge-fixed correlation functions. We argue that the kinetic theory description of such systems becomes less reliable in the presence of this IR enhancement. Keywords: Lattice QCD, Quark-Gluon Plasma, Heavy Quark Physics ArXiv ePrint: 2005.02418

c The Authors. Open Access, Article funded by SCOAP3 .

https://doi.org/10.1007/JHEP09(2020)077

JHEP09(2020)077

Heavy quark diffusion in an overoccupied gluon plasma

Contents 1 Introduction

1

2 Highly occupied non-Abelian plasma

3 5 5 7 10 12

4 Understanding the time dependence of the correlator 4.1 Equal time electric field correlator 4.2 Spectral reconstruction (SR) method 4.3 Kinetic theory (KT) framework

14 14 16 20

5 Results 5.1 Time dependence of κ∞ (t) 5.2 Understanding the ∆t dependence of κ (t, ∆t)

23 23 27

6 Conclusions

29

A Lattice checks

32

B HTL functions

33

1

Introduction

Transport coefficients, such as viscosities, diffusion coefficients and conductivities contain information about microscopic properties of the medium. In the framework of QCD matter produced in ultrarelativistic heavy-ion collisions, the evaluation of such transport coefficients has been a longstanding problem. Perturbative evaluations at Leading Order (LO) have been available for a long time [1–3]. More recently perturbative calculations have been pushed to next-to-leading order (NLO) accuracy [4–8]. In equilibrium, there have been attempts to extract transport coefficients also using nonperturbati