Bound states from the spectral Bethe-Salpeter equation-Reference-Cited by-同舟云学术

Bound states from the spectral Bethe-Salpeter equation

Published:2024-05-17 Issue:9 Volume:109 Page:
ISSN:2470-0010
Container-title:Physical Review D
language:en
Short-container-title:Phys. Rev. D

Author:

Eichmann Gernot¹^ORCID,Gómez Andrés²^ORCID,Horak Jan²^ORCID,Pawlowski Jan M.²³^ORCID,Wessely Jonas²^ORCID,Wink Nicolas⁴^ORCID

Affiliation:

1. Institute of Physics, University of Graz, NAWI Graz, Universitätsplatz 5, 8010 Graz, Austria

2. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany

3. ExtreMe Matter Institute EMMI, GSI, Planckstraße 1, D-64291 Darmstadt, Germany

4. Institut für Kernphysik (Theoriezentrum), Technische Universität Darmstadt, D-64289 Darmstadt, Germany

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.

Published by the American Physical Society

2024

Funder

Deutsche Forschungsgemeinschaft

Studienstiftung des Deutschen Volkes

Fundação para a Ciência e a Tecnologia

Germany’s Excellence Strategy

Collaborative Research Centre

State of Hesse

Publisher

American Physical Society (APS)

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