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Bound states from the spectral Bethe-Salpeter equation

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arxiv 2310.16353 v1 pith:QOIXTXRZ submitted 2023-10-25 hep-ph hep-th

Gernot Eichmann , Andrés Gómez , Jan Horak , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink This is my paper
classification hep-phhep-th
keywords boundstatebethe-salpeterequationlimitpropertiesspectraltheory
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Critical scaling for spectral functions

    hep-th 2025-06 conditional novelty 5.0 of 10

    A spectral renormalisation group computation extracts the anomalous dimension eta ~ 0.1 for 2+1-dimensional phi^4 theory in the scaling regime, within a truncated approximation.

  2. A beginner's guide to functional methods in particle physics

    hep-ph 2025-10 accept novelty 1.0 of 10

    A pedagogical review showing how Dyson-Schwinger, 3PI, and Bethe-Salpeter equations can be chained together to compute glueball masses in pure Yang-Mills theory, matching lattice QCD.

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