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 (Aref’eva et al. in JHEP 07:161, 2021). 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.
Highlights
This paper studies direct photons moving through twice anisotropic QGP and investigates influence of chemical potential and magnetic field on the results
We chose the fivedimensional twice anisotropic holographic model for heavy quarks based on Einstein-dilaton-three-Maxwell action [29] for our calculations
We observe a jump at the temperature of Hawking–Page phase transition, which disappears as the magnetic field and chemical potential increase
Summary
The choice of different warp factors distinguishes isotropic and anisotropic holographic QCD models [3,4,5,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38]. The first Maxwell field in action is related to chemical potential; the second describes spatial anisotropy, and the third accounts for an external magnetic field In this model, a significant influence of the external magnetic field on the black hole solution and the confinement/deconfinement phase diagram was studied in [29]. A significant influence of the external magnetic field on the black hole solution and the confinement/deconfinement phase diagram was studied in [29] In this model, we consider the impact of anisotropy, chemical potential and magnetic fields on electric conductivity. We reproduce the lattice data by varying the kinetic potential for the Maxwell field (see Fig. 3 below) With this universal kinetic function we calculate the DC conductivity for all other cases, i.e. anisotropic collisions (ν > 1), non-zero chemical potential (μ > 0) and non-zero magnetic field.
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