Mass of quantum topological excitations and order parameter finite size dependence
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913234734284800 |
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| author | Delfino, Gesualdo Sorba, Marianna |
| author_facet | Delfino, Gesualdo Sorba, Marianna |
| contents | We consider the spontaneously broken regime of the $O(n)$ vector model in $d=n+1$ space-time dimensions, with boundary conditions enforcing the presence of a topological defect line. Comparing theory and finite size dependence of one-point functions observed in recent numerical simulations we argue that the mass of the underlying topological quantum particle becomes infinite when $d\geq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06206 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Mass of quantum topological excitations and order parameter finite size dependence Delfino, Gesualdo Sorba, Marianna Statistical Mechanics High Energy Physics - Theory We consider the spontaneously broken regime of the $O(n)$ vector model in $d=n+1$ space-time dimensions, with boundary conditions enforcing the presence of a topological defect line. Comparing theory and finite size dependence of one-point functions observed in recent numerical simulations we argue that the mass of the underlying topological quantum particle becomes infinite when $d\geq 4$. |
| title | Mass of quantum topological excitations and order parameter finite size dependence |
| topic | Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.06206 |