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Berry curvature and 4-dimensional monopole in relativistic chiral kinetic equation

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arxiv 1210.8312 v3 pith:OIARULFF submitted 2012-10-31 hep-th hep-phnucl-th

classification hep-thhep-phnucl-th
keywords berrychiraldimensionalequationmonopoleanomalycurvaturederived
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abstract

We derive a relativistic chiral kinetic equation with manifest Lorentz covariance from Wigner functions of spin-1/2 massless fermions in a constant background electromagnetic field. It contains vorticity terms and a 4-dimensional Euclidean Berry monopole which gives axial anomaly. By integrating out the zero-th component of the 4-momentum p, we reproduce the previous 3-dimensional results derived from the Hamiltonian approach, together with the newly derived vorticity terms. The phase space continuity equation has an anomalous source term proportional to the product of electric and magnetic fields ($F\tilde{F} \sim E.B$). This provides a unified interpretation of the chiral magnetic and vortical effects, chiral anomaly, Berry curvature, and the Berry monopole in the framework of Wigner functions.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Local Spin Polarization in Anisotropic Gubser Flow: Suppression Mechanism and Formulation Dependence

    nucl-th 2026-08 conditional novelty 6.0 of 10

    In an anisotropic Gubser flow, the longitudinal spin polarization's sign depends on which shear formulation is used, and two popular formulations show exact or near-exact cancellation between vorticity and shear contr...

  2. Transverse and longitudinal spin alignment from color fields in heavy ion collisions

    nucl-th 2024-11 conditional novelty 6.0 of 10

    Spin alignment of phi mesons along the beam direction is predicted to exceed 1/3 for glasma fields and to show a sign-changing rapidity pattern for isotropic QGP color fields, offering a discriminating observable.

  3. Magnetic fields in heavy ion collisions: flow and charge transport

    hep-ph 2019-08 conditional novelty 6.0 of 10

    Ideal MHD simulations of heavy-ion collisions find that a chiral magnetic field encoded in the initial conditions is transported by the expanding plasma into a late-time electric charge dipole perpendicular to the rea...

  4. Chiral kinetic theory from the on-shell effective theory: derivation of collision terms

    hep-ph 2019-08 accept novelty 6.0 of 10

    Collision terms of chiral kinetic theory are derived to order 1/E from the on-shell effective field theory, with spin-dependent couplings to circularly polarized photons, and checked against a QED decay rate.

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