English

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

High Energy Physics - Lattice 2021-06-02 v2 High Energy Physics - Phenomenology

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 L\"uscher formula-like quantization condition is thus obtained.

Keywords

Cite

@article{arxiv.2101.01150,
  title  = {Charged particles interaction in both a finite volume and a uniform magnetic field},
  author = {Peng Guo and Vladimir Gasparian},
  journal= {arXiv preprint arXiv:2101.01150},
  year   = {2021}
}

Comments

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