2010/06/30 by Sang Pyo Kim, Hyun Kyu Lee, Yongsung Yoon
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Effective action #Electric field #Mathematics #Physics #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum fluctuation #Quantum mechanics #Scalar (mathematics) #Spinor #Vacuum polarization #Zero temperature #gr-qc #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.82.025016
published as Phys.Rev.D82:025016,2010 · RevTex4, 6pages, no figure; replaced by the version to be published in Phys. Rev. D
arxiv created 2010/07/01 · openalex publication_date 2010/07/26 · arxiv updated 2014/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose a novel method for the effective action of spinor and scalar QED at finite temperature in time-dependent electric fields, where charged pairs evolve in a nonadiabatic way. The imaginary part of the effective action consists of thermal loops of the Fermi-Dirac or Bose-Einstein distribution for the initial thermal ensemble, weighted with factors of the Bogoliubov coefficients for quantum effects. And the real part of the effective action is determined by the mean number of produced pairs and vacuum polarization at zero temperature. In the weak-field limit, the mean number of produced pairs is shown twice the imaginary part. We explicitly find the finite-temperature effective action in a constant electric field.