Finite volume corrections to forward Compton scattering off the nucleon

Abstract

We calculate the spin-averaged amplitude for doubly virtual forward Compton scattering off nucleons in the framework of manifestly Lorentz invariant baryon chiral perturbation theory at complete one-loop order $O(p^4)$. The calculations are carried out both in the infinite and in a finite volume. The obtained results allow for a detailed estimation the finite-volume corrections to the amplitude which can be extracted on the lattice using the background field technique.

arXiv comment35 pages, 8 figures

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• The axial-vector form factor of the nucleon in a finite box