Bound states from the spectral Bethe-Salpeter equation
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...
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| Main Authors: | , , , , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
17 May 2024
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| 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 |
| Author Notes: | Gernot Eichmann, Andrés Gómez, Jan Horak, Jan M. Pawlowski, Jonas Wessely, and Nicolas Wink |
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| 520 | |a We compute the bound state properties of three-dimensional scalar 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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