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Bound states from the spectral Bethe-Salpeter equation

We compute the bound state properties of three-dimensional scalar šœ™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...

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Bibliographic Details
Main Authors: Eichmann, Gernot (Author) , GoĢmez, AndreĢs (Author) , Horak, Jan (Author) , Pawlowski, Jan M. (Author) , Wessely, Jonas (Author) , Wink, Nicolas (Author)
Format: Article (Journal)
Language:English
Published: 17 May 2024
In: Physical review
Year: 2024, Volume: 109, Issue: 9, Pages: 096024-1-096024-16
ISSN:2470-0029
DOI:10.1103/PhysRevD.109.096024
Online Access:Verlag, kostenfrei, Volltext: https://doi.org/10.1103/PhysRevD.109.096024
Verlag, kostenfrei, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.109.096024
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Author Notes:Gernot Eichmann, AndreĢs GoĢmez, Jan Horak, Jan M. Pawlowski, Jonas Wessely, and Nicolas Wink
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Summary:We compute the bound state properties of three-dimensional scalar šœ™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.
Item Description:Gesehen am 25.11.2024
Physical Description:Online Resource
ISSN:2470-0029
DOI:10.1103/PhysRevD.109.096024

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