Wigner function and pair production in parallel electric and magnetic fields

Abstract

We derive analytical formulas for the equal-time Wigner function in an electromagnetic field of arbitrary strength. While the magnetic field is assumed to be constant, the electric field is assumed to be space-independent and oriented parallel to the magnetic field. The Wigner function is first decomposed in terms of the so-called Dirac-Heisenberg-Wigner (DHW) functions and then the transverse-momentum dependence is separated using a new set of basis functions which depend on the quantum number $n$ of the Landau levels. Equations for the coefficients are derived and then solved for the case of a constant electric field. The pair-production rate for each Landau level is calculated. In the case of finite temperature and chemical potential, the pair-production rate is suppressed by Pauli's exclusion principle.

RevTex 4, 16 pages, 2 figures; Some references are added, minor changes are made in the text

References in corpus (11)

• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Multidimensional Worldline Instantons
• Axial Ward identity and the Schwinger mechanism -- Applications to the real-time chiral magnetic effect and condensates
• On Mass correction to Chiral Vortical Effect and Chiral Separation Effect
• Pseudoscalar condensation induced by chiral anomaly and vorticity for massive fermions
• Discrete worldline instantons
• Schwinger Pair Production at Finite Temperature in QED
• Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
• A distinctive signature of extra-dimensions: The enhanced open string pair production
• Magnetically-enhanced open string pair production
• Remark on the open string pair production enhancement

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