Orientation dependence of confinement-deconfinement phase transition in anisotropic media

Abstract

We study the T -µ phase diagram of anisotropic media, created in heavyion collisions (HIC). Such a statement of the problem is due to several indications that this media is anisotropic just after HIC. To study T -µ phase diagram we use holographic methods. To take into account the anisotropy we use an anisotropic black brane solutions for a bottom-up QCD approach in 5-dim Einstein-dilaton-two-Maxwell model constructed in our previous work. We calculate the minimal surfaces of the corresponding probing open string world-sheet in anisotropic backgrounds with various temperatures and chemical potentials. The dynamical wall (DW) locations, providing the quark confinement, depend on the orientation of the quark pairs, that gives a crossover transition between confinement/deconfinement phases in the dual gauge theory.

Holographic anisotropic background with confinement-deconfinement phase transition

“…It is interesting to note that V does not depend on the Euler angles. The HEE dynamical wall does not coincide with Wilson loop dynamical walls, which depend on the orientation of the loop in respect to the collision axes [76].…”

“…So the black hole solution is always dominant with respect to thermal AdS for µ = 0. The position of BB phase transition line determines the phase diagram of the model [61,76]. The entropy function s(T ) is multivalued for µ < µ cr and becomes one-to-one for chemical potentials µ ≥ µ cr .…”

“…Note that we can analyze the behavior of the integral at the upper limit z * . If [76]. Now we can determine the power of the integrand singularity at z = 0.…”

“…The Wilson loops can also be computed in HQCD. It happens that location of the confinement/deconfinement line in the (µ, T ) plane can be close to the background phase transition [54,61,76], but not necessary fit it. For special models the phase transition of the HEE can be used as an indication of the HQCD phase transition [41,55].…”

“…Isotropic holographic models had not been able to reproduce the experimental multiplicity dependence on energy [63][64][65][66][67][68][69][70][71][72][73][74][75]. As shown in [76], the model [61] describes smeared confinement/deconfinement phase transitions. As we will see, the model indicates the relations of the fluctuations of the multiplicity, i.e.…”