1991/12/20 by Steven K. Blau, Matt Visser, Andreas Wipf · 6 citations
Mathematics · Physics and Astronomy · #Action (physics) #Arithmetic zeta function #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmology and Gravitation Theories #Effective action #Field (mathematics) #Limit (mathematics) #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Physics #Prime zeta function #Pure mathematics #Quantum electrodynamics #Quantum mechanics #Relativity and Gravitational Theory #Renormalization #Riemann zeta function #Spinor #Zeta function regularization #hep-th
paper · pdf · doi:10.1142/s0217751x91002549
published as Int. J. Mod. Phys. A6 (1991) 5409-5433 · Pre-arXiv article from 1990; 23 pages, no figures. (Uploaded to arXiv to help researchers with limited library facilities.)
openalex publication_date 1991/12/20 · arxiv created 2009/06/16 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Motivated by the seminal work of Schwinger, we obtain explicit closed-form expressions for the one-loop effective action in a constant electromagnetic field. We discuss both massive and massless charged scalars and spinors in two, three and four dimensions. Both strong-field and weak-field limits are calculable. The latter limit results in an asymptotic expansion whose first term reproduces the Euler-Heinsenberg effective Lagrangian. We use the prescription of zeta-function renormalization, and indicate its relationship to Schwinger’s renormalized effective action.