Running Coupling for Holographic QCD with Heavy and Light Quarks: Isotropic case

Abstract

We consider the running coupling constant in holographic models supported by Einstein-dilaton-Maxwell action for heavy and light quarks. To obtain the dependence of the running coupling constant $\alpha$ on temperature and chemical potential we impose boundary conditions on the dilaton field that depend on the position of the horizon. We use two types of boundary conditions: a simple boundary condition with the dilaton field vanishing at the horizon and a boundary condition that ensures an agreement with lattice calculations of string tension between quarks at zero chemical potential. The location of the 1st order phase transitions in $(\mu ,T)$-plane does not depend on the dilaton boundary conditions for light and heavy quarks. At these phase transitions, the function $\alpha$ undergoes jumps depending on temperature and chemical potential. We also show that for the second boundary conditions the running coupling decreases with a temperature increase, and the dependence on temperature and chemical potential both for light and heavy quarks is actually specified in QGP phase by functions of one variable, demonstrating in this sense auto-model behavior.

Sections 4, 5 and Appendixes A, B are moved to a separated submission; matches PRD published version with minor corrections; 64 pages, 46 figures

References in corpus (43)

• Linear Confinement and AdS/QCD
• The Equation of State of Hot, Dense Matter and Neutron Stars
• Exploring improved holographic theories for QCD: Part II
• Exploring improved holographic theories for QCD: Part I
• UV/IR Relations in AdS Dynamics
• The QCD phase structure at finite temperature and density
• Heavy-Quark Potentials and AdS/QCD
• The QCD Running Coupling
• Nonperturbative QCD Coupling and its $\beta$ function from Light-Front Holography
• Heavy Quarkonium in Extreme Conditions
• Holographic Anisotropic Background with Confinement-Deconfinement Phase Transition
• Anisotropic string tensions and inversely magnetic catalyzed deconfinement from a dynamical AdS/QCD model
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Exotic RG Flows from Holography
• Holographic RG flow and the Quantum Effective Action
• Confinement-Deconfinment Phase Transition for Heavy Quarks
• Holographic QCD in the Veneziano limit at finite Magnetic Field and Chemical Potential
• Interplay between the holographic QCD phase diagram and entanglement entropy
• Chiral transition in the probe approximation from an Einstein-Maxwell-dilaton gravity model
• The QCD phase diagram and Beam Energy Scan physics: a theory overview
• Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field
• The $N_f=2$ QCD chiral phase transition with Wilson fermions at zero and imaginary chemical potential
• Orientation Dependence of Confinement-Deconfinement Phase Transition in Anisotropic Media
• Holographic Anisotropic Model for Light Quarks with Confinement-Deconfinement Phase Transition
• Approaching Confinement Structure for Light Quarks in a Holographic Soft Wall QCD Model
• Logarithmic correction in the deformed ${\mathrm{AdS}}_5$ model to produce the heavy quark potential and QCD beta function
• Equivalence of the AdS-Metric and the QCD Running Coupling
• Estimates for the Thermal Width of Heavy Quarkonia in Strongly Coupled Plasmas from Holography
• Phenomenology of AdS/QCD and Its Gravity Dual
• Holographic Entanglement Entropy in Anisotropic Background with Confinement-Deconfinement Phase Transition
• Lattice QCD computation of the SU(3) String Tension critical curve
• Holographic model for light quarks in anisotropic hot dense QGP with external magnetic field
• Exotic holographic RG flows at finite temperature
• Holographic RG flows on curved manifolds and quantum phase transitions
• Realistic in-medium heavy-quark potential from high statistics lattice QCD simulations
• Holography for Heavy Ions Collisions at LHC and NICA
• A quenched 2-flavour Einstein-Maxwell-dilaton gauge-gravity model
• Magnetic Catalysis in Holographic Model with Two Types of Anisotropy for Heavy Quarks
• Direct photons emission rate and electric conductivity in twice anisotropic QGP holographic model with first-order phase transition
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Meson Excitation Time as a Probe of Holographic Critical Point
• Meson Potential Energy in a Non-Conformal Holographic Model

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