Direct photons emission rate and electric conductivity in twice anisotropic QGP holographic model with first-order phase transition

TL;DR

This paper investigates electric conductivity and direct photon emission in a twice anisotropic holographic QGP model, revealing conductivity jumps near a first-order phase transition influenced by temperature, chemical potential, magnetic field, and anisotropy.

Contribution

It introduces a holographic model with dual anisotropies, demonstrating the equivalence of conductivity calculations and analyzing phase transition effects on conductivity.

Findings

Electric conductivity exhibits jumps near the phase transition.

Conductivity depends on temperature, chemical potential, magnetic field, and anisotropy.

The model shows consistency between different calculation methods.

Abstract

The electric conductivity and direct photons emission rate are considered in the holographic theory with two types of anisotropy. The electric conductivity is derived in two different ways, and their equivalence for the twice anisotropic theory is shown. Numerical calculations of the electric conductivity were done for Einstein-dilaton-three-Maxwell holographic model [29]. The dependence of the conductivity on the temperature, the chemical potential, the external magnetic field, and the spatial anisotropy of the heavy-ions collision (HIC) is studied. The electric conductivity jumps near the first-order phase transition are observed. This effect is similar to the jumps of holographic entanglement that were studied previously.