Transport Dynamics of Quark-Gluon Plasma in Perturbative QCD with Magnetic fields/Vorticity

Abstract

In this defense, I present my research on transport dynamics of the quark-gluon plasma (QGP) with magnetic field and/or vorticity by using the thermal perturbative Quantum Chromodynamics(pQCD) approach. The first main topic focuses on studying the interplay between the QCD interactions and magnetic field, where an effective kinetic theory of the lowest Landau level quarks is formulated, from which the quark mass dependence of the finite electrical conductivity is found. Shear viscosity that governs the rate of momentum transfer, is also affected by the presence of the magnetic field. A full numerical result for the magnetic-dependent shear viscosity is provided. The second main topic will be on the spin dynamics of QGP, where a novel quantum kinetic description of the spin polarization of massive quarks is first formulated in the context of pQCD. This framework shows that the order of time scale of spin polarization is the same as that of charge transport and shear viscosity, which is not captured by usual classical kinetic theory. In the third topic, I will introduce our novel construction of the non-dissipative second-order hydrodynamics for a slowly rotating fluid. New transport coefficients arise and are constrained by the second law of thermodynamics. We demonstrate that the extension of hydrodynamics by the spin variable is equivalent to modifying conventional hydrodynamics by a set of second-order terms satisfying the relations we derived. We point out that a novel contribution to the heat current orthogonal to vorticity and temperature gradient reminiscent of the thermal Hall effect is constrained by the second law

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