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Peer-reviewedCC BY 4.0Journal of High Energy Physics

Hamiltonian truncation framework for gauge theories on the interval

  • Rachel Houtz1
  • James Ingoldby2
  1. 1University of Florida
  2. 2Durham University
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Abstract

A bstract : In this work, we investigate gauge theories in two dimensions nonperturbatively using the Hamiltonian truncation approach. Working on a spatial interval and adopting the axial gauge, we remove all gauge field degrees of freedom and express the interacting Hamiltonian in the eigenbasis of the free Dirac theory, truncated at a finite energy. As a benchmark we analyse the Schwinger model, where our numerical spectra agree closely with the exact results from bosonization across a wide range of couplings, validating the construction of the Hamiltonian. We then generalize the formulation to nonabelian gauge groups and apply it to SU(3) gauge theory with a single massless Dirac fermion. These results demonstrate that gauge theories can be explored nonperturbatively using a truncated Hamiltonian that generates evolutions in ordinary time, offering a complementary alternative to lattice field theory.

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Cite

BibTeXRIS
BibTeX
@article{houtz2026hamiltonian,
  title = {{Hamiltonian truncation framework for gauge theories on the interval}},
  author = {Rachel Houtz and James Ingoldby},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)276},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)276},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Hamiltonian truncation framework for gauge theories on the interval
AU  - Rachel Houtz
AU  - James Ingoldby
PY  - 2026
DA  - 2026/10/28
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)276
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)276
AB  - A bstract : In this work, we investigate gauge theories in two dimensions nonperturbatively using the Hamiltonian truncation approach. Working on a spatial interval and adopting the axial gauge, we remove all gauge field degrees of freedom and express the interacting Hamiltonian in the eigenbasis of the free Dirac theory, truncated at a finite energy. As a benchmark we analyse the Schwinger model, where our numerical spectra agree closely with the exact results from bosonization across a wide range of couplings, validating the construction of the Hamiltonian. We then generalize the formulation to nonabelian gauge groups and apply it to SU(3) gauge theory with a single massless Dirac fermion. These results demonstrate that gauge theories can be explored nonperturbatively using a truncated Hamiltonian that generates evolutions in ordinary time, offering a complementary alternative to lattice field theory.
SN  - 1029-8479
ER  -