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Corrections from space-time dependent electromagnetic fields to Wigner functions and spin polarization

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arxiv 2409.00456 v2 pith:TBROF6OO submitted 2024-08-31 hep-ph hep-thnucl-th

Corrections from space-time dependent electromagnetic fields to Wigner functions and spin polarization

classification hep-ph hep-thnucl-th
keywords electromagneticfieldsdependentspace-timewignerconstantcorrectionsequilibrium
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We have derived the Wigner equations at global equilibrium with constant vorticity but space-time dependent electromagnetic fields up to second order in semiclassical expansion. We obtain the new second-order contributions to the charge currents and energy-momentum tensor from the varying electromagnetic fields. We also compute the new corrections to the spin polarization pesudo-vector from both contant and varying electromagnetic fields. We also find that the space-time dependent electromagnetic field provides a tighter constraint on the solutions of Wigner functions in global equilibrium compared with constant electromagnetic field.

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Cited by 2 Pith papers

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    Quantum metric induces O(ħ²) corrections to phase-space density of states, modifying Liouville's theorem and providing a nonlinear chiral kinetic theory consistent with QFT for chiral fermions in inhomogeneous fields.