Vacuum structure of gapped QCD$_2$ theories from the infinite Hamiltonian lattice
Fuente:
arXiv
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909998740668416 |
|---|---|
| author | Dempsey, Ross Glück, Anna-Maria E. Pufu, Silviu S. Søgaard, Benjamin T. |
| author_facet | Dempsey, Ross Glück, Anna-Maria E. Pufu, Silviu S. Søgaard, Benjamin T. |
| contents | Gapped two-dimensional gauge theories with massless fermions generically have rich vacuum structures consisting of many degenerate vacua related by the action of topological line operators. The algebra of such operators has been used to calculate ratios of vacuum expectation values of local operators and to predict nontrivial particle-soliton degeneracies. In this paper, we use recently-developed tensor network methods to study several examples of such theories via their Hamiltonian lattice descriptions. Our lattice results agree with all previously-made predictions. Furthermore, we identify the lattice strong-coupling states that can be adiabatically continued to the degenerate vacua in the continuum limit. We conjecture a procedure, referred to as a lattice decay rule, for how this identification works in general. This rule allows us to compute the continuum vacuum degeneracy by studying the lattice Hamiltonian in the strong-coupling limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_16262 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Vacuum structure of gapped QCD$_2$ theories from the infinite Hamiltonian lattice Dempsey, Ross Glück, Anna-Maria E. Pufu, Silviu S. Søgaard, Benjamin T. High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice Gapped two-dimensional gauge theories with massless fermions generically have rich vacuum structures consisting of many degenerate vacua related by the action of topological line operators. The algebra of such operators has been used to calculate ratios of vacuum expectation values of local operators and to predict nontrivial particle-soliton degeneracies. In this paper, we use recently-developed tensor network methods to study several examples of such theories via their Hamiltonian lattice descriptions. Our lattice results agree with all previously-made predictions. Furthermore, we identify the lattice strong-coupling states that can be adiabatically continued to the degenerate vacua in the continuum limit. We conjecture a procedure, referred to as a lattice decay rule, for how this identification works in general. This rule allows us to compute the continuum vacuum degeneracy by studying the lattice Hamiltonian in the strong-coupling limit. |
| title | Vacuum structure of gapped QCD$_2$ theories from the infinite Hamiltonian lattice |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2601.16262 |