Form Factors of the Tricritical Three-state Potts Model in its Scaling Limit
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866911800036950016 |
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| author | Mussardo, Giuseppe Panero, Marco Stampiggi, Andrea |
| author_facet | Mussardo, Giuseppe Panero, Marco Stampiggi, Andrea |
| contents | We compute the form factors of the order and disorder operators, together with those of the stress-energy tensor, of the two-dimensional three-state Potts model with vacancies along its thermal deformation of the critical point. At criticality the model is described by the non-diagonal partition function of the unitary minimal model $\mathcal{M}_{6,7}$ of conformal field theories and is accompanied by an internal $S_3$ symmetry. Its off-critical thermal deformation is an integrable massive theory which is still invariant under $S_3$. The presence of infinitely many conserved quantities, whose spin spectrum is related to the exceptional Lie algebra $E_6$, allows us to determine the analytic $S$-matrix, the exact mass spectrum and the matrix elements of local operators of this model in an exact non-perturbative way. We use the spectral representation series of the correlators and the fast convergence of these series to compute several universal ratios of the renormalization group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_00654 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Form Factors of the Tricritical Three-state Potts Model in its Scaling Limit Mussardo, Giuseppe Panero, Marco Stampiggi, Andrea High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice We compute the form factors of the order and disorder operators, together with those of the stress-energy tensor, of the two-dimensional three-state Potts model with vacancies along its thermal deformation of the critical point. At criticality the model is described by the non-diagonal partition function of the unitary minimal model $\mathcal{M}_{6,7}$ of conformal field theories and is accompanied by an internal $S_3$ symmetry. Its off-critical thermal deformation is an integrable massive theory which is still invariant under $S_3$. The presence of infinitely many conserved quantities, whose spin spectrum is related to the exceptional Lie algebra $E_6$, allows us to determine the analytic $S$-matrix, the exact mass spectrum and the matrix elements of local operators of this model in an exact non-perturbative way. We use the spectral representation series of the correlators and the fast convergence of these series to compute several universal ratios of the renormalization group. |
| title | Form Factors of the Tricritical Three-state Potts Model in its Scaling Limit |
| topic | High Energy Physics - Theory Statistical Mechanics High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2311.00654 |