Thermal Heavy Quark Self-Energy from Euclidean Correlators

Abstract

Brambilla, Escobedo, Soto, and Vairo have derived an effective description of quarkonium with two parameters; a momentum diffusion term and a real self-energy term. We point out that there is a similar real self-energy term for a single open heavy flavor and that it can be expressed directly in terms of Euclidean electric field correlators along a Polyakov line. This quantity can be directly studied on the lattice without the need for analytical continuation. We show that Minkowski-space calculations of this correlator correspond with the known NLO Euclidean value of the relevant electric field two-point function and that it differs from the real self-energy term for quarkonium.

arXiv comment5 pages, 1 figure. v2: very minor edits, matches journal version. v3: Eqs. (11) and (17) of v2 fixed, title and abstract modified, conclusions changed

References in corpus (42)

• Heavy quarkonium: progress, puzzles, and opportunities
• Properties and uses of the Wilson flow in lattice QCD
• Energy loss of a heavy quark moving through N=4 supersymmetric Yang-Mills plasma
• Potential NRQCD: an effective theory for heavy quarkonium
• How Much do Heavy Quarks Thermalize in a Heavy Ion Collision?
• Effective field theories for heavy quarkonium
• Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions
• Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model
• Heavy Quark Diffusion in Strongly Coupled $\mathbb{N}=4$ Yang Mills
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Static quark-antiquark pairs at finite temperature
• Free Energy of QCD at High Temperature
• Trivializing maps, the Wilson flow and the HMC algorithm
• Infinite N phase transitions in continuum Wilson loop operators
• Effective Field Theory Approach to High-Temperature Thermodynamics
• Medium Modifications and Production of Charmonia at LHC
• Nonperturbative Heavy-Quark Diffusion in the Quark-Gluon Plasma
• Centrality, rapidity and transverse momentum dependence of $J/\psi$ suppression in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}$=2.76 TeV
• 3d SU(N) + adjoint Higgs theory and finite temperature QCD
• Heavy Quark Momentum Diffusion Coefficient from Lattice QCD
• Quarkonium suppression in heavy-ion collisions: an open quantum system approach
• Heavy quark diffusion in perturbative QCD at next-to-leading order
• J/$\psi$ suppression at forward rapidity in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=5.02$ TeV
• Heavy quarkonium suppression in a fireball
• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• Quarkonia in the Quark Gluon Plasma
• Heavy quark diffusion in QCD and N=4 SYM at next-to-leading order
• Solution to the Perturbative Infrared Catastrophe of Hot Gauge Theories
• Suppression of Upsilon Production in d+Au and Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Suppression of Upsilon(1S), Upsilon(2S), and Upsilon(3S) production in PbPb collisions at sqrt(s[NN]) = 2.76 TeV
• Heavy quark bound states in a quark-gluon plasma: dissociation and recombination
• A way to estimate the heavy quark thermalization rate from the lattice
• Quarkonium at finite temperature: Towards realistic phenomenology from first principles
• $J/\psi$ production at low $p_T$ in Au+Au and Cu+Cu collisions at $\sqrt{s_{{}_{NN}}}$ = 200 GeV at STAR
• Measurement of ${\rm Y}$(1S+2S+3S) production in $p$$+$$p$ and Au$+$Au collisions at $\sqrt{s_{{}_{NN}}}=200$ GeV
• Quarkonium in-medium properties from realistic lattice NRQCD
• Colour-electric spectral function at next-to-leading order
• Theoretical Perspective on Quarkonia from SPS via RHIC to LHC
• Perturbative renormalization of the electric field correlator
• Gradient-flowed thermal correlators: how much flow is too much?
• Heavy Quark diffusion from lattice QCD spectral functions
• Recombinant Charmonium in strongly coupled Quark-Gluon Plasma

Cited by in corpus (14)

• Heavy Quarkonium in Extreme Conditions
• Transport coefficients from in medium quarkonium dynamics
• The Present and Future of QCD
• Non-Abelian Electric Field Correlator at NLO for Dark Matter Relic Abundance and Quarkonium Transport
• Heavy quarkonium dynamics at next-to-leading order in the binding energy over temperature
• Regeneration of bottomonia in an open quantum systems approach
• Real Time Quarkonium Transport Coefficients in Open Quantum Systems from Euclidean QCD
• Gauge Invariance of Non-Abelian Field Strength Correlators: the Axial Gauge Puzzle
• Chromoelectric field correlator for quarkonium transport in the strongly coupled $\mathcal{N}=4$ Yang-Mills plasma from AdS/CFT
• Medium evolution of a static quark-antiquark pair in the large $N_c$ limit
• Dynamics of in-medium quarkonia in SU(3) and SU(2) gauge theories
• Quarkonium Polarization in Medium from Open Quantum Systems and Chromomagnetic Correlators
• Heavy Quarkonium at finite temperature and chemical potential
• Non-Markovian dynamics of bottomonia in the QGP