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Vacuum Polarization Effects from Fermion Zero-Point Energy

2002/01/25 by Jeferson Tomazelli, J. L. Tomazelli, Tomazelli, J. L.
Physics and Astronomy · #Atomic and Molecular Physics #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0201204

LaTex file, 16 pages, no figures, new section and references added

openalex publication_date 2002/01/25 · arxiv created 2003/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The influence of an external electromagnetic field on the vacuum structure of a quantized Dirac field is investigated by considering the quantum corrections to classical Maxwell's lagrangian density induced by fluctuations of the non-perturbative vacuum. Effective Lagrangian densities for Maxwell's theory in (3+1) and (2+1) dimensions are derived from the vacuum zero-point energy of the fermion field in the context of a consistent Pauli-Villars-Rayski subtraction scheme, recovering Euler-Kockel-Heisenberg and Maxwell-Chern-Simons effective theories. Effective scalar quantum electrodymanics as well as low temperature effects in both spinor and scalar theories are also discussed.

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