Bound states from the spectral Bethe-Salpeter equation

Author:

Gernot Eichmann, Andrés Gómez, Jan Horak, Jan M. Pawlowski, Jonas Wessely, Nicolas Wink

Keyword:

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th)

journal:

date:

2023-10-24 16:00:00

Abstract

We compute the bound state properties of three-dimensional scalar $\phi^4$ 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.

PDF: Bound states from the spectral Bethe-Salpeter equation.pdf