Charged particles interaction in both a finite volume and a uniform magnetic field

Abstract

A formalism for describing charged particles interaction in both a finite volume and a uniform magnetic field is presented. In the case of short-range interaction between charged particles, we show that the factorization between short-range physics and finite volume long-range correlation effect is possible, a Lüscher formula-like quantization condition is thus obtained.

Revised version, an error in Eq.(63) is corrected, to appear in PRD