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      Chiral Kinetic Theory

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          Abstract

          We derive the non-equilibrium kinetic equation describing the motion of chiral massless particles in the regime where it can be considered classically. We show that the Berry monopole which appears at the origin of the momentum space due to level crossing is responsible for the chiral magnetic and vortical effects.

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          The Chiral Magnetic Effect

          Dmitri E. Kharzeev, Kenji Fukushima, Harmen J. Warringa (2008)
          Topological charge changing transitions can induce chirality in the quark-gluon plasma by the axial anomaly. We study the equilibrium response of the quark-gluon plasma in such a situation to an external magnetic field. To mimic the effect of the topological charge changing transitions we will introduce a chiral chemical potential. We will show that an electromagnetic current is generated along the magnetic field. This is the Chiral Magnetic Effect. We compute the magnitude of this current as a function of magnetic field, chirality, temperature, and baryon chemical potential.
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            Hydrodynamics with Triangle Anomalies

            , (2013)
            We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserve current is not only allowed by symmetries, but is in fact required by triangle anomalies and the second law of thermodynamics. This term leads to a number of new effects, one of which is chiral separation in a rotating fluid at nonzero chemical potential. The new kinetic coefficients can be expressed, in a unique fashion, through the anomalies coefficients and the equation of state. We briefly discuss the relevance of this new hydrodynamic term for physical situations, including heavy ion collisions.
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              Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects

              Ganesh Sundaram, Qian Niu (1999)
              We present a unified theory for wave-packet dynamics of electrons in crystals subject to perturbations varying slowly in space and time. We derive the wave-packet energy up to the first order gradient correction and obtain all kinds of Berry-phase terms for the semiclassical dynamics and the quantization rule. For electromagnetic perturbations, we recover the orbital magnetization energy and the anomalous velocity purely within a single-band picture without invoking inter-band couplings. For deformations in crystals, besides a deformation potential, we obtain a Berry-phase term in the Lagrangian due to lattice tracking, which gives rise to new terms in the expressions for the wave-packet velocity and the semiclassical force. For multiple-valued displacement fields surrounding dislocations, this term manifests as a Berry phase, which we show to be proportional to the Burgers vector around each dislocation.
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                Author and article information

                Journal
                Publication date Created: 03 July 2012
                Article
                DOI: 10.1103/PhysRevLett.109.162001
                ArXiV ID: 1207.0747
                SO-VID: d3baec63-a212-4f2a-84cb-a0b19a83184f
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                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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                Comments 4 pages
                Categories hep-th cond-mat.mes-hall nucl-th

                ScienceOpen disciplines: High energy & Particle physics,Nanophysics,Nuclear physics
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                ScienceOpen disciplines: High energy & Particle physics, Nanophysics, Nuclear physics

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