Abstract
We investigate rotating effect on deconfinement phase transition in an Einstein-Maxwell-Dilaton (EMD) model in bottom-up holographic QCD approach. By constructing a rotating black hole, which is supposed to be dual to rotating strongly coupled nuclear matter, we investigate the thermodynamic quantities, including entropy density, pressure, energy density, trace anomaly, sound speed and specific heat for both pure gluon system and two-flavor system under rotation. It is shown that those thermodynamic quantities would be enhanced by large angular velocity. Also, we extract the information of phase transition from those thermodynamic quantities, as well as the order parameter of deconfinement phase transition, i.e. the loop operators. It is shown that, in the T − ω plane, for two-flavor case with small chemical potential, the phase transition is always crossover. The transition temperature decreases slowly with angular velocity and chemical potential. For pure gluon system with zero chemical potential, the phase transition is always first order, while at finite chemical potential a critical end point (CEP) will present in the T − ω plane.
Highlights
Besides the interesting anomalous effects, like the chiral vortical effect [12,13,14,15] and chiral vortical wave [16], vorticity would significantly change the phase transition [17,18,19,20,21,22], either the location or the transition order
By constructing a rotating black hole, which is supposed to be dual to rotating strongly coupled nuclear matter, we investigate the thermodynamic quantities, including entropy density, pressure, energy density, trace anomaly, sound speed and specific heat for both pure gluon system and two-flavor system under rotation
The speciousconfinement/deconfinement phase transition temperature decreases with the chemical potential and the corresponding first order small/large black hole phase transition line terminates at a second order critical point, as predicted by the well-known lattice study [75]
Summary
The EMD system could give good description of deconfinement phase transition. By self-consistently solving the equations of motion, one could obtain the dual gravity background, from which the thermal dynamical quantities could be extracted. It is shown that by carefully fitting the model parameter settings, one could get equation of states(EoS) comparable to lattice simulations. For the compactness of this work, we will briefly review the model first, and discuss the extension to rotating case
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