Nonextremality, chemical potential, and the infrared limit of largeNthermal 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.

Constraints on the path-length dependence of jet quenching in nuclear collisions at RHIC and LHC

“…Certainly, such an ansatz requires further generalization of the present holographic jet-quenching models to include possibly more general string initial conditions and non-conformal geometric deformations [61][62][63].…”

Non-extremal geometries and holographic phase transitions

“…However, F-theory [66,67] dictates that the running of the axiodilation field is ∂ τ ∼ O(g s N f ) where N f is the number of seven branes and we will only consider terms which are of O(g s N f ) ignoring all higher order terms. If we also ignore the localized sources, then indeed we obtainR mn = 0 [57,62]. Even thoughḡ mn remains the same the warp factor is different in different regions.…”

“…But as discussed in [57], this modification does not alter how the gauge theory couplings flow with energy scale, it only redefines the energy scale in terms of temperature. Now observe that the gauge group becomes SU (M ) only at the far IR while at high energies, it can be described by SU (k(Λ)M ) × SU ((k(Λ) − 1)M ) group, with k(Λ) increasing with energy.…”

“…Due to the presence of D5 branes, we expect the black hole horizon to be larger than the Schwarzschild value [57], which is possible if α 1 > 0. In the rest of the analysis, we will assume α 1 > 0.…”

Ultraviolet complete model of largeNthermal QCD

“…In [5,6,8], the theory above the deconfinement temperature was studied in details. The high temperature phase was understood therein as the one coming from a black-hole with a horizon radius r h where the temperature was related to r h .…”