Foundations and Applications of Quantum Kinetic Theory

Abstract

Many novel quantum phenomena emerge in non-equilibrium relativistic quantum matter under extreme conditions such as strong magnetic fields and rotations. The quantum kinetic theory based on Wigner functions in quantum field theory provides a powerful and effective microscopic description of these quantum phenomena. In this article we review some of recent advances in the quantum kinetic theory and its applications in describing these quantum phenomena.

arXiv comment114 pages, 3 figures; List of acronyms and symbols are added

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• Second order equilibrium transport in strongly coupled $\mathcal{N}=4$ supersymmetric $SU(N_c)$ Yang-Mills plasma via holography
• Signatures of the vortical quark-gluon plasma in hadron yields
• Anomalous plasma: chiral magnetic effect and all that
• Out of equilibrium Chiral Vortical Effect in Holography
• Quantum Kinetic Equation for Fluids of Spin-1/2 Fermions
• Power corrections and gradient expansion in QED transport theory
• Some Features of Semiclassical Chiral Transport in Rotating Frames
• Chiral Magnetic Effect and Three-point Function from AdS/CFT Correspondence
• Localization of Massless Spinning Particles and the Berry Phase
• Damping and polarization rates in near equilibrium state
• Challenges in Solving Chiral Hydrodynamics
• Spin Polarization Induced by Inhomogeneous Dynamical Condensate
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Equal-time kinetic equations in a rotational field
• Polarization as a signature of local parity violation in hot QCD matter
• Helicity polarization in relativistic heavy ion collisions
• Origin of the Strong Toroidal Magnetic Field in Magnetars

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