Free Energy of a Heavy Quark-Antiquark Pair in a Thermal Medium from AdS/CFT

Abstract

We study the free energy of a heavy quark-antiquark pair in a thermal medium using the AdS/CFT correspondence. We point out that a commonly used prescription for calculating this quantity leads to a temperature dependence in conflict with general properties of the free energy. The problem originates from a particular way of subtracting divergences. We argue that the commonly used prescription gives rise to the binding energy rather than the free energy. We consider a different subtraction procedure and show that the resulting free energy is well-behaved and in qualitative agreement with results from lattice QCD. The free energy and the binding energy of the quark pair are computed for N = 4 supersymmetric Yang-Mills theory and several non-conformal theories. We also calculate the entropy and the internal energy of the pair in these theories. Using the consistent subtraction, we further study the free energy, entropy, and internal energy of a single heavy quark in the thermal medium for various theories. Also here the results are found to be in qualitative agreement with lattice QCD results.

arXiv comment47 pages, 14 figures; v2: discussion extended, matches journal version

References in corpus (76)

• Gauge Theory Correlators from Non-Critical String Theory
• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Linear Confinement and AdS/QCD
• Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV
• Holographic Renormalization
• Effective field theories for heavy quarkonium
• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• Real-time static potential in hot QCD
• Wilson-Polyakov Loop at Finite Temperature in Large N Gauge Theory and Anti-de Sitter Supergravity
• Static quark-antiquark pairs at finite temperature
• Exploring improved holographic theories for QCD: Part I
• Static quark anti-quark interactions in zero and finite temperature QCD. I. Heavy quark free energies, running coupling and quarkonium binding
• Heavy Quark Anti-Quark Free Energy and the Renormalized Polyakov Loop
• Measurement of the pseudorapidity and transverse momentum dependence of the elliptic flow of charged particles in lead-lead collisions at sqrt(s_NN) = 2.76 TeV with the ATLAS detector
• Thermodynamics of the QCD plasma and the large-N limit
• Mimicking the QCD equation of state with a dual black hole
• Wilson loops in heavy ion collisions and their calculation in AdS/CFT
• Wilson Loops in the Large N Limit at Finite Temperature
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• Measurement of the elliptic anisotropy of charged particles produced in PbPb collisions at nucleon-nucleon center-of-mass energy = 2.76 TeV
• Real and imaginary-time $Q\bar{Q}$ correlators in a thermal medium
• Static quark anti-quark free energy and the running coupling at finite temperature
• Heavy ions and string theory
• Improved Holographic QCD
• Toward a Systematic Holographic QCD: A Braneless Approach
• Free energy of a static quark anti-quark pair and the renormalized Polyakov loop in three flavor QCD
• Static quark-antiquark potential in the quark-gluon plasma from lattice QCD
• Comparing the drag force on heavy quarks in N=4 super-Yang-Mills theory and QCD
• Renormalized Polyakov loops in many representations
• The Spatial String Tension, Thermal Phase Transition, and AdS/QCD
• Probing strongly coupled anisotropic plasma
• Polyakov loop in 2+1 flavor QCD from low to high temperatures
• Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
• Quarkonium at finite temperature: Towards realistic phenomenology from first principles
• Confinement-Deconfinment Phase Transition for Heavy Quarks
• Screening length in plasma winds
• On Heavy-Quark Free Energies, Entropies, Polyakov Loop, and AdS/QCD
• Drag Force, Jet Quenching, and AdS/QCD
• Thermodynamics of AdS/QCD
• Heavy Quark Potentials and Quarkonia Binding
• Thermal Width of the ${\rm Y}$ at Large t' Hooft Coupling
• On the velocity and chemical-potential dependence of the heavy-quark interaction in N=4 SYM plasmas
• Heavy Quark Potential at Finite Temperature Using the Holographic Correspondence
• Renormalized entanglement entropy
• Heavy quark potential at finite temperature from gauge/string duality
• Robustness and Infrared Sensitivity of Various Observables in the Application of AdS/CFT to Heavy Ion Collisions
• Logarithmic correction in the deformed ${\mathrm{AdS}}_5$ model to produce the heavy quark potential and QCD beta function
• Connecting Polyakov Loops to the Thermodynamics of $SU(N_c)$ Gauge Theories Using the Gauge-String Duality
• A gauge invariant Debye mass and the complex heavy-quark potential
• Deconfinement as an entropic self-destruction: a solution for the quarkonium suppression puzzle?
• Renormalized Polyakov Loop in the Deconfined Phase of SU(N) Gauge Theory and Gauge/String Duality
• Estimates for the Thermal Width of Heavy Quarkonia in Strongly Coupled Plasmas from Holography
• Polyakov loop in 2+1 flavor QCD
• Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas
• Probing Two Holographic Models of Strongly Coupled Anisotropic Plasma
• Time-dependent heavy-quark potential at finite temperature from gauge-gravity duality
• Stability of strings binding heavy-quark mesons
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• Entropic destruction of a moving heavy quarkonium
• Debye screening mass near deconfinement from holography
• Static quark anti-quark interactions at zero and finite temperature QCD. II.Quark anti-quark internal energy and entropy
• Thermal string probes in AdS and finite temperature Wilson loops
• Holographic entropy and real-time dynamics of quarkonium dissociation in non-Abelian plasma
• Heavy quarks in the presence of higher derivative corrections from AdS/CFT
• The Heavy Quark Free Energy in QCD and in Gauge Theories with Gravity Duals
• Effective Field Theories for Heavy Quarkonium
• Quarkonium Binding and Entropic Force
• Black Probes of Schrödinger Spacetimes
• Robustness of Sound Speed and Jet Quenching for Gauge/Gravity Models of Hot QCD
• Heavy Quark Potential at Finite Temperature in a Dual Gravity Closer to Large N QCD

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• AdS black holes with higher derivative corrections in presence of string cloud
• String breaking and running coupling of $\mathrm{Q}\bar{\mathrm{Q}}$ in a rotating media from holography
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• Bottomonia Suppression in Heavy Ion Collisions from AdS/CFT