QED in Finite Volume and Finite Size Scaling Effect on Electromagnetic Properties of Hadrons

On account of the computation of the virtual photon corrections to the hadronic properties by means of lattice QCD simulation, we study 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 compute the finite size scaling effect on the electromagnetic correction to the masses of pseudo-Nambu-Coldstone bosons and observe qualitative features.