Modeling the nonperturbative contributions to the complex heavy-quark potential

Abstract

In this paper, we construct a simple model for the complex heavy quark potential which is defined through the Fourier transform of the static gluon propagator. Besides the hard thermal loop resummed contribution, the gluon propagator also includes a non-perturbative term induced by the dimension two gluon condensate. Within the framework of thermal field theory, the real and imaginary parts of the heavy quark potential are determined in a consistent way without resorting to any extra assumption as long as the exact form of the retarded/advanced gluon propagator is specified. The resulting potential model has the desired asymptotic behaviors and reproduces the data from lattice simulation reasonably well. By presenting a direct comparison with other complex potential models on the market, we find the one proposed in this work shows a significant improvement on the description of the lattice results, especially for the imaginary part of the potential, in a temperature region relevant to quarkonium studies.

arXiv commentfinal version in PRD

References in corpus (42)

• Potential NRQCD: an effective theory for heavy quarkonium
• Effective field theories for heavy quarkonium
• Real-time static potential in hot QCD
• Effective Field Theory for Ultrasoft Momenta in NRQCD and NRQED
• Static quark-antiquark pairs at finite temperature
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• Color Screening Melts Quarkonium
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• Complex Heavy-Quark Potential at Finite Temperature from Lattice QCD
• Heavy Quarkonia in Quark-Gluon Plasma
• The non-Abelian Debye screening length beyond leading order
• Testing Landau gauge OPE on the Lattice with a $<A^2>$ Condensate
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• The heavy-quark potential in an anisotropic plasma
• Thermal width and gluo-dissociation of quarkonium in pNRQCD
• Thermal width and quarkonium dissociation by inelastic parton scattering
• The imaginary part of the static gluon propagator in an anisotropic (viscous) QCD plasma
• Quarkonium states in an anisotropic QCD plasma
• Effective matrix model for deconfinement in pure gauge theories
• T-Matrix Approach to Quarkonium Correlation Functions in the QGP
• Dimension two condensates and the Polyakov loop above the deconfinement phase transition
• Heavy Quark Interactions in Finite Temperature QCD
• Quarkonium at finite temperature: Towards realistic phenomenology from first principles
• How Wide is the Transition to Deconfinement?
• Quarkonia in the deconfined phase: effective potentials and lattice correlators
• Propagators and Dimensional Reduction of Hot SU(2) Gauge Theory
• Potential Models for Quarkonia
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• Landau-gauge condensates from the quark propagator on the lattice
• Heavy Quark Potentials and Quarkonia Binding
• Heavy Quark Free Energies and Screening in SU(2) Gauge Theory
• Dissociation of Quarkonium in a Complex Potential
• Electric and Magnetic Screening Masses at Finite Temperature from Generalized Polyakov-Line Correlations in Two-flavor Lattice QCD
• Power corrections in the quark-antiquark potential at finite temperature
• Complex heavy-quark potential and Debye mass in a gluonic medium from lattice QCD
• A gauge invariant Debye mass and the complex heavy-quark potential
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Artefacts and <A2> power corrections : revisiting the MOM Z_psi and Z_V
• Lattice calculation of the heavy quark potential at non-zero temperature
• Three-Point Functions at Finite Temperature
• Debye screening mass of hot Yang-Mills theory to three-loop order
• Polyakov loop correlator in perturbation theory

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• Heavy quarkonium suppression beyond the adiabatic limit
• Heavy quarkonia in a bulk viscous medium
• The complex heavy-quark potential in an anisotropic quark-gluon plasma -- Statics and dynamics
• Spectral functions of heavy quarkonia in a bulk-viscous quark gluon plasma
• The imaginary part of the heavy-quark potential from real-time Yang-Mills dynamics
• Effective Debye Screening Mass in an Anisotropic Quark Gluon Plasma
• Nonperturbative heavy quark diffusion coefficients in a weakly magnetized thermal QCD medium
• Influence of a nontrivial Polyakov loop on the quarkonium states
• Heavy Quarkonium at finite temperature and chemical potential
• The Relativistic Schrödinger Equation through FFTW3: An Extension of quantumfdtd
• Quarkonium in a QCD medium with momentum-dependent relaxation time
• Long and short distance behavior of the imaginary part of the heavy-quark potential