Bound states from the spectral Bethe-Salpeter equation

2023/10/25 by Eichmann, Gernot, Gómez, Andrés, Horak, Jan +3 · 1 citation
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2310.16353

Abstract

We compute the bound state properties of three-dimensional scalar ϕ⁴ 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.

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