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

Abstract

Recently, Gies and Karbstein showed that the two-loop Euler-Heisenberg Lagrangian receives a finite one-particle reducible contribution in addition to the well-known one-particle irreducible one. Here, we demonstrate that a similar contribution exists for the propagator in a constant field already at the one-loop level, and we calculate this contribution for the scalar QED case. We also present an independent derivation of the Gies-Karbstein result using the worldline formalism, treating the scalar and spinor QED cases in a unified manner.

13 pages, 4 figures. Minor corrections made

References in corpus (4)

• Light-by-Light Scattering Constraint on Born-Infeld Theory
• An Addendum to the Heisenberg-Euler effective action beyond one loop
• Master formulas for the dressed scalar propagator in a constant field
• Euler-Heisenberg lagrangians and asymptotic analysis in 1+1 QED, part 1: Two-loop

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