The paper proposes a reweighting framework that evaluates the fermion determinant ratio in the continuum via worldline methods and uses it to reweight background-free lattice QED ensembles for vacuum polarization in a strong background field.
One-loop vertex correction in a plane wave
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abstract
We compute the general expression of the one-loop vertex correction in an arbitrary plane-wave background field for the case of two on-shell external electrons and an off-shell external photon. The properties of the vertex corrections under gauge transformations of the plane-wave background field and of the radiation field are studied. Concerning the divergences of the vertex correction, the infrared one is cured by assigning a finite mass to the photon, whereas the ultraviolet one is shown to be renormalized exactly as in vacuum. Finally, the corresponding expression of the vertex correction within the locally-constant crossed field is also derived and the high-field asymptotic is shown to scale according to the Ritus-Narozhny conjecture.
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Vacuum polarization in QED with an electromagnetic background from the lattice
The paper proposes a reweighting framework that evaluates the fermion determinant ratio in the continuum via worldline methods and uses it to reweight background-free lattice QED ensembles for vacuum polarization in a strong background field.