2017/04/30 by Naser Ahmadiniaz, Fiorenzo Bastianelli, Olindo Corradini +2 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant (computer programming) #Cosmology and Gravitation Theories #Electromagnetic field #Lagrangian #Laser-Plasma Interactions and Diagnostics #Mathematical physics #Mathematics #Path integral formulation #Physics #Propagator #Quantum electrodynamics #Quantum mechanics #Scalar (mathematics) #Spinor #Spinor field #astro-ph.HE #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2017.09.012
published as Nucl.Phys. B924 (2017) 377-386 · 12 pages. 4 figure. Updated to journal version with correction of a minus sign in equation (34)
openalex created_date 2017/04/14 · openalex publication_date 2017/09/20 · arxiv created 2017/12/17 · arxiv updated 2017/12/19 · openalex updated_date 2026/08/05
Extending work by Gies and Karbstein on the Euler–Heisenberg Lagrangian, it has recently been shown that the one-loop propagator of a charged scalar particle in a constant electromagnetic field has a one-particle reducible contribution in addition to the well-studied irreducible one. Here we further generalize this result to the spinor case, and find the same relation between the reducible term, the tree-level propagator and the one-loop Euler–Heisenberg Lagrangian as in the scalar case. Our demonstration uses a novel worldline path integral representation of the photon-dressed spinor propagator in a constant electromagnetic field background.