Construction of the Pauli-Villars-regulated Dirac vacuum in electromagnetic fields

DOI10.1007/s00205-012-0609-1zbMath1269.81202arXiv1204.2893OpenAlexW2070574611MaRDI QIDQ1949325

Philippe Gravejat, Mathieu Lewin, Christian Hainzl, Éric Séré

Publication date: 7 May 2013

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.2893

zbMATH Keywords

vacuum polarizationquantum electrodynamicsPauli-Villars regularizationphoton propagatorDirac vacuumdivergent Feynman integralsexternal electromagnetic source

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Electromagnetic interaction; quantum electrodynamics (81V10) Electromagnetic theory (general) (78A25)

Related Items (8)

External field QED on Cauchy surfaces for varying electromagnetic fields ⋮ Derivation of the magnetic Euler-Heisenberg energy ⋮ Dirac equation with external potential and initial data on Cauchy surfaces ⋮ The Dirac-Klein-Gordon system in the strong coupling limit ⋮ Two effective models for the Dirac vacuum in electromagnetic fields ⋮ A Perspective on External Field QED ⋮ Semi-classical Dirac vacuum polarisation in a scalar field ⋮ Quantum fields with classical perturbations

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