Non-Extremality, Chemical Potential and the Infrared limit of Large N Thermal QCD

Abstract

Non-extremal solution with warped resolved-deformed conifold background is important to study the infrared limit of large N thermal QCD. Earlier works in this direction have not taken into account all the back-reactions on the geometry, namely from the branes, fluxes, and black-hole carefully. In the present work we make some progress in this direction by solving explicitly the supergravity equations of motions in the presence of the backreaction from the black-hole. The backreactions from the branes and the fluxes on the other hand and to the order that we study, are comparatively suppressed. Our analysis reveal, among other things, how the resolution parameter would depend on the horizon radius and how the RG flows of the coupling constants should be understood in these scenarios, including their effects on the background three-form fluxes. We also study the effect of switching on a chemical potential in the background and, in a particularly simplified scenario, compute the actual value of the chemical potential for our case.

61 pages, LaTex, 3 eps figures; v2: Some corrections done in sec 2.1 to sharpen the regime of validity of our results. Text expanded, typos corrected and minor corrections added to the other sections; v3: Text expanded at various places, typos corrected and references added. Final version to appear in Physical Review D

References in corpus (21)

• Static quark-antiquark pairs at finite temperature
• The Spatial String Tension, Thermal Phase Transition, and AdS/QCD
• On a Holographic Model for Confinement/Deconfinement
• The black hole in the throat - thermodynamics of strongly coupled cascading gauge theories
• D3-D7 Quark-Gluon Plasmas at Finite Baryon Density
• Klebanov-Witten theory with massive dynamical flavors
• The Klebanov-Strassler model with massive dynamical flavors
• Holography and Unquenched Quark-Gluon Plasmas
• Heavy quark potential at finite temperature from gauge/string duality
• Gluon Condensate, Wilson Loops and Gauge/String Duality
• On holographic phase transitions at finite chemical potential
• Heavy Quarkonium Melting in Large N Thermal QCD
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Notes on a SQCD-like plasma dual and holographic renormalization
• D-terms on the resolved conifold
• Holographic Duals of Quark Gluon Plasmas with Unquenched Flavors
• Static strings in Randall-Sundrum scenarios and the quark anti-quark potential: Erratum
• Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
• Black Holes in Cascading Theories: Confinement/Deconfinement Transition and other Thermal Properties
• On Vector Meson Masses in a Holographic SQCD
• A holographic model for large N thermal QCD

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