1998/04/30 by V. P. Gusynin, I. A. Shovkovy · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Effective action #Electric field #Electromagnetic field #Fermion #Feynman diagram #Geometry #Mathematical physics #Mathematics #Physics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1063/1.533037
published as J.Math.Phys. 40 (1999) 5406-5439 · 30 papes, 3 figures, REVTeX. The final version accepted for publication in Journal of Mathematical Physics
arxiv created 1999/07/16 · openalex publication_date 1999/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The derivative expansion of the one-loop effective action in QED3 and QED4 (quantum electrodynamics) is considered. The first term in such an expansion is the effective action for a constant electromagnetic field. An explicit expression for the next term containing two derivatives of the field strength Fμν, but exact in the magnitude of the field strength, is obtained. The general results for both fermion and scalar electrodynamics are presented. The cases of pure electric and pure magnetic external fields are considered in detail. The Feynman technique for the perturbative expansion of the one-loop effective action in the number of derivatives is developed.