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PreprintCC BY 4.0arXiv

Bound States in 2d Yukawa Theory from Hamiltonian Truncation

  • Olivier Delouche
  • Kara Farnsworth
  • Francesco Riva
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Abstract

We study the spectrum of two-dimensional Yukawa theory using Hamiltonian truncation, with a focus on bound states. We extend the framework of Hamiltonian truncation effective theory to include fermions and logarithmic UV divergences. With these corrections, the energy levels converge as a function of the cutoff with the scaling predicted by power counting. We identify a strategy to follow the evolution of fermion-antifermion bound states from weak to strong coupling, and investigate its binding energy, finding good agreement with finite-volume perturbation theory at weak coupling. Finally, we explore the heavy-scalar regime toward the massive Thirring/Sine-Gordon limit, recovering the expected weak-coupling behavior and outlining how the calculation can be extended toward this limit.

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Cite

BibTeXRIS
BibTeX
@misc{delouche2026bound,
  title = {{Bound States in 2d Yukawa Theory from Hamiltonian Truncation}},
  author = {Olivier Delouche and Kara Farnsworth and Francesco Riva},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31504},
  eprint = {2609.31504},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.31504},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Bound States in 2d Yukawa Theory from Hamiltonian Truncation
AU  - Olivier Delouche
AU  - Kara Farnsworth
AU  - Francesco Riva
PY  - 2026
DA  - 2026/09/25
PB  - arXiv
DO  - 10.48550/arxiv.2609.31504
UR  - https://arxiv.org/abs/2609.31504
AB  - We study the spectrum of two-dimensional Yukawa theory using Hamiltonian truncation, with a focus on bound states. We extend the framework of Hamiltonian truncation effective theory to include fermions and logarithmic UV divergences. With these corrections, the energy levels converge as a function of the cutoff with the scaling predicted by power counting. We identify a strategy to follow the evolution of fermion-antifermion bound states from weak to strong coupling, and investigate its binding energy, finding good agreement with finite-volume perturbation theory at weak coupling. Finally, we explore the heavy-scalar regime toward the massive Thirring/Sine-Gordon limit, recovering the expected weak-coupling behavior and outlining how the calculation can be extended toward this limit.
ER  -