Debye screening mass near deconfinement from holography

Abstract

In this paper the smallest thermal screening mass associated with the correlator of the $CT$-odd operator, $\sim \mathrm{Tr}{F}_{\mu \nu }{\tilde{F}}^{\mu \nu }$, is determined in strongly coupled non-Abelian gauge plasmas which are holographically dual to non-conformal, bottom-up Einstein+scalar gravity theories. These holographic models are constructed to describe the thermodynamical properties of $SU(N_c)$ plasmas near deconfinement at large $N_c$ and we identify this thermal mass with the Debye screening mass $m_D$. In this class of non-conformal models with a first order deconfinement transition at $T_c$, $m_D/T$ displays the same behavior found for the expectation value of the Polyakov loop (which we also compute) jumping from zero below $T_c$ to a nonzero value just above the transition. In the case of a crossover phase transition, $m_D/T$ has a minimum similar to that found for the speed of sound squared $c_s^2$. This holographic framework is also used to evaluate $m_D$ as a function of $\eta /s$ in a strongly coupled conformal gauge plasma dual to Gauss-Bonnet gravity. In this case, $m_D/T$ decreases with increasing $\eta /s$ in accordance with extrapolations from weak coupling calculations.

48 pages, 16 figures, updated references

References in corpus (22)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Linear Confinement and AdS/QCD
• The QCD equation of state with dynamical quarks
• Viscosity Bound and Causality Violation
• Exploring improved holographic theories for QCD: Part II
• On the Strongly-Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
• Beyond eta/s = 1/4pi
• Mimicking the QCD equation of state with a dual black hole
• Thermodynamics and bulk viscosity of approximate black hole duals to finite temperature quantum chromodynamics
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Effective Theory of Wilson Lines and Deconfinement
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Debye screening in strongly coupled N=4 supersymmetric Yang-Mills plasma
• Glueball masses in the large N limit
• Suppression of the Shear Viscosity in a "semi" Quark Gluon Plasma
• Thermodynamics of the N=2^* strongly coupled plasma
• The Heavy Quark Potential as a Function of Shear Viscosity at Strong Coupling
• On the smallest screening masses in hot QCD
• Non-conformal Holography of Heavy Quark Quenching
• Thermal power terms in the Einstein-dilaton system
• Quantum corrections to screening at strong coupling

Cited by in corpus (3)

• Correlations between the deconfining and chiral transitions in holographic QCD
• Color screening masses from string models
• Holographically emulating sequential versus instantaneous disappearance of vector mesons in a hot environment