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.

One-particle reducible contribution to the one-loop spinor propagator in a constant field / Ahmadiniaz, Naser; Bastianelli, Fiorenzo; Corradini, Olindo; Edwards, James P; Schubert, Christian. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 924:(2017), pp. 377-386. [10.1016/j.nuclphysb.2017.09.012]

One-particle reducible contribution to the one-loop spinor propagator in a constant field

CORRADINI, Olindo;
2017

Abstract

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.
2017
924
377
386
One-particle reducible contribution to the one-loop spinor propagator in a constant field / Ahmadiniaz, Naser; Bastianelli, Fiorenzo; Corradini, Olindo; Edwards, James P; Schubert, Christian. - In: NUCLEAR PHYSICS. B. - ISSN 0550-3213. - 924:(2017), pp. 377-386. [10.1016/j.nuclphysb.2017.09.012]
Ahmadiniaz, Naser; Bastianelli, Fiorenzo; Corradini, Olindo; Edwards, James P; Schubert, Christian
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/1147110
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