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We explored the gravity dual of a rotating quark-gluon plasma by transforming the boundary coordinates of the large black hole limit of Schwarchild-AdS5 metric. The Euler-Lagrange equation of the Nambu-Goto action and its solution become more complex than those without rotation. For small angular velocity, we obtained an analytical form of the drag force acting on a quark moving in the direction of the rotation axis and found it stronger than that without rotation. We also calculated the heavy quark potential under the same approximation. For the quarkonium symmetric with respect to the rotation axis, the depth of the potential is reduced by the rotation. For the quarkonium oriented in parallel to the rotation axis, the binding force is weakened and the force range becomes longer. We also compared our holographic formulation with others in the literature.
We explored the gravity dual of a rotating quark-gluon plasma by transforming the boundary coordinates of the large black hole limit of Schwarchild-AdS5 metric. The Euler-Lagrange equation of the Nambu-Goto action and its solution become more complex than those without rotation. For small angular velocity, we obtained an analytical form of the drag force acting on a quark moving in the direction of the rotation axis and found it stronger than that without rotation. We also calculated the heavy quark potential under the same approximation. For the quarkonium symmetric with respect to the rotation axis, the depth of the potential is reduced by the rotation. For the quarkonium oriented in parallel to the rotation axis, the binding force is weakened and the force range becomes longer. We also compared our holographic formulation with others in the literature.
We perform the potential analysis for the holographic Schwinger
effect in spinning Myers-Perry black holes. We compute the
potential between the produced pair by evaluating the classical
action of a string attaching on a probe D3-brane sitting at an
intermediate position in the AdS bulk. It turns out that
increasing the angular momentum reduces the potential barrier thus
enhancing the Schwinger effect, consistent with previous findings
obtained from the local Lorentz transformation. In particular,
these effects are more visible for the particle pair lying in the
transversal plane compared with that along the longitudinal
orientation. In addition, we discuss how the Schwinger effect
changes with the shear viscosity to entropy density ratio at
strong coupling under the influence of angular momentum.
Studying the thermodynamics of the systems produced in ultra-relativistic heavy-ion collisions is crucial in understanding the QCD phase diagram. Recently, a new avenue has opened regarding the implications of large initial angular momentum and subsequent vorticity in the medium evolution in high-energy collisions. This adds a new type of chemical potential into the partonic and hadronic systems, called the rotational chemical potential. We study the thermodynamics of an interacting hadronic matter under rotation, formed in an ultra-relativistic collision. We introduce attractive and repulsive interactions through the van der Waals equation of state. Thermodynamic properties like the pressure (P), energy density ($$\varepsilon $$ ε ), entropy density (s), trace anomaly ($$(\varepsilon - 3P)/T^{4}$$ ( ε - 3 P ) / T 4 ), specific heat ($$c_\textrm{v}$$ c v ) and squared speed of sound ($$c_\textrm{s}^{2}$$ c s 2 ) are studied as functions of temperature (T) for zero and finite rotation chemical potential. The conserved charge fluctuations, which can be quantified by their respective susceptibilities, are also studied. The rotational (spin) density corresponding to the rotational chemical potential is explored. In addition, we explore the possible liquid–gas phase transition in the hadron gas with van der Waals interaction in the T – $$\omega $$ ω phase space.
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