English

Propagation of particles on a torus

High Energy Physics - Lattice 2020-03-25 v2 Strongly Correlated Electrons High Energy Physics - Phenomenology

Abstract

In this study, based on the variational principle and Faddeev method, we present a general framework for finding the propagating solutions of multiple interacting particles on a torus. Two different versions of multiparticle secular equations are presented. Version one shows how the propagating solutions on a torus and the infinite volume dynamics are connected. The second version may be more suitable and robust for the task of lattice quantum chromodynamics data analysis. The proposed formalism may also be useful for studying the effects of few-body interactions on the electronic band structure in condensed matter physics.

Keywords

Cite

@article{arxiv.1908.08081,
  title  = {Propagation of particles on a torus},
  author = {Peng Guo},
  journal= {arXiv preprint arXiv:1908.08081},
  year   = {2020}
}

Comments

Revised version based on Refs's suggestions, to appear in PLB

R2 v1 2026-06-23T10:53:39.057Z