English

Ground state for point particles interacting through a massless scalar Bose field

Mathematical Physics 2007-05-23 v1 Functional Analysis math.MP

Abstract

We consider a massless scalar Bose field interacting with two particles, one of them infinitely heavy. Neither an infrared nor an ultraviolet cutoff is imposed. In case the charge of the particles is of the same sign and sufficiently small, we prove the existence of a ground state.

Keywords

Cite

@article{arxiv.math-ph/0211050,
  title  = {Ground state for point particles interacting through a massless scalar Bose field},
  author = {Masao Hirokawa and Fumio Hiroshima and Herbert Spohn},
  journal= {arXiv preprint arXiv:math-ph/0211050},
  year   = {2007}
}

Comments

45 pages

R2 v1 2026-07-22T16:22:11.427Z