QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons

TL;DR

This paper develops a finite volume QED formalism and investigates how finite size effects influence electromagnetic corrections to hadron properties using low energy effective QCD with QED.

Contribution

It introduces a new formulation of QED in finite volume and applies it to study electromagnetic mass corrections in lattice QCD simulations.

Findings

Finite size effects significantly impact electromagnetic mass corrections.

The formalism aids in interpreting lattice QCD results with QED.

Qualitative features of finite size scaling on pseudo-Goldstone boson masses are identified.

Abstract

On account of its application to the present and future analysis of the virtual photon correction to the hadronic properties by means of lattice QCD simulation, we initiate the study of the finite size scaling effect on the QED correction using low energy effective theory of QCD with QED. For this purpose, we begin with formulating a new QED on the space with finite volume. By adapting this formalism to the partially quenched QCD with electromagnetism, we explore the qualitative features of the finite size scaling effect on the electromagnetic correction to the masses of pseudo-Goldstone bosons.