Fermionic propagator in an intense background

2015/02/28 by Martin Lavelle, David McMullan · 2 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Function (biology) #Laser-Matter Interactions and Applications #Laser-Plasma Interactions and Diagnostics #Mathematical physics #Mathematics #Matrix (chemical analysis) #Order (exchange) #Physics #Propagator #Quantum electrodynamics #Quantum mechanics #Renormalization #Sideband #Square (algebra) #Wave function #hep-ph

paper · pdf · doi:10.1103/physrevd.91.105022

published as Phys. Rev. D 91, 105022 (2015) · 18 pages, 2 figures, minor amendments and references added. Version to appear in Physical Review D

arxiv created 2015/04/27 · openalex publication_date 2015/05/26 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

New results for the fermion propagator in a laser background are presented. We show that the all orders electron propagator can be written in a compact and appealing form as a sum of sideband poles with a matrix wave function renormalization and a matrix valued mass shift. This last result is essential in the fermionic theory if we are to maintain that both the mass and its square pick up a correction only at order e². A perturbative verification of our results is carried out.

Citations

• Extremely high-intensity laser interactions with fundamental quantum systems
• Quantum Electron Self-Interaction in a Strong Laser Field
• Degenerate Systems and Mass Singularities
• Note on the Radiation Field of the Electron

Cited by

• Renormalization of the Volkov propagator
• Completeness and orthonormality of the Volkov states and the Volkov propagator in configuration space