Anomalous current from covariant Wigner functions

Abstract

We consider accelerated and rotating media of weakly interacting fermions in local thermodynamic equilibrium. Kinetic properties of this media are described by covariant Wigner function calculated on the basis of relativistic distribution function of particles with spin. We obtain the formulae for axial current beyond the approximation of smallness of thermal vorticity tensor and chemical potential and calculate its divergence. In the massless limit higher order terms in vorticity and chemical potential compensate each other with only the low-order contributions surviving. It is shown, that axial current gets a topological component along the 4-acceleration vector. The similarity between different approaches to baryon polarisation is established.

10 pages, no figures

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Cited by in corpus (13)

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• Axial Kinetic Theory and Spin Transport for Fermions with Arbitrary Mass
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• Unruh effect for fermions from the Zubarev density operator
• General relativity effects in precision spin experimental tests of fundamental symmetries
• Thermodynamic equilibrium of massless fermions with vorticity, chirality and electromagnetic field
• Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
• Chiral vortical effect for vector fields
• Equilibrium Chiral Magnetic Effect: spatial inhomogeneity, finite temperature, interactions
• Feynman Rules in terms of the Wigner transformed Green functions
• Vortical effects in chiral band structures