Nucleon in a periodic magnetic field: Finite-volume aspects

Abstract

The paper presents an extension and a refinement of our previous work on the extraction of the doubly virtual forward Compton scattering amplitude on the lattice by using the background field technique, Phys. Rev. D 95, 031502 (2017) (arXiv:1610.05545). The zero frequency limit for the periodic background field is discussed, in which the well-known result is reproduced. Further, an upper limit for the magnitude of the external field is established for which the perturbative treatment is still possible. Finally, the framework is set for the evaluation of the finite-volume corrections allowing for the analysis of upcoming lattice results.

arXiv comment42 pages, 5 figures; version accepted for publication in Physical Review D

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Cited by in corpus (5)

• Hadrons and Nuclei
• Toward a First-Principles Calculation of Electroweak Box Diagrams
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Lattice QCD Inputs for Nuclear Double Beta Decay
• Finite volume corrections to forward Compton scattering off the nucleon