Nucleon in a periodic magnetic field: Finite-volume aspects
High Energy Physics - Lattice
2019-03-14 v2 High Energy Physics - Phenomenology
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.
Keywords
Cite
@article{arxiv.1812.06013,
title = {Nucleon in a periodic magnetic field: Finite-volume aspects},
author = {Andria Agadjanov and Ulf-G. Meißner and Akaki Rusetsky},
journal= {arXiv preprint arXiv:1812.06013},
year = {2019}
}
Comments
42 pages, 5 figures; version accepted for publication in Physical Review D