English

Bound states from the spectral Bethe-Salpeter equation

High Energy Physics - Phenomenology 2023-10-26 v1 High Energy Physics - Theory

Abstract

We compute the bound state properties of three-dimensional scalar ϕ4\phi^4 theory in the broken phase. To this end, we extend the recently developed technique of spectral Dyson-Schwinger equations to solve the Bethe-Salpeter equation and determine the bound state spectrum. We employ consistent truncations for the two-, three- and four-point functions of the theory that recover the scaling properties in the infinite coupling limit. Our result for the mass of the lowest-lying bound state in this limit agrees very well with lattice determinations.

Keywords

Cite

@article{arxiv.2310.16353,
  title  = {Bound states from the spectral Bethe-Salpeter equation},
  author = {Gernot Eichmann and Andrés Gómez and Jan Horak and Jan M. Pawlowski and Jonas Wessely and Nicolas Wink},
  journal= {arXiv preprint arXiv:2310.16353},
  year   = {2023}
}

Comments

15 pages, 16 figures

R2 v1 2026-06-28T13:01:03.436Z