Form factor bootstrap in the thermally perturbed tricritical Ising model
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910473213968384 |
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| author | Fitos, B. Takacs, G. |
| author_facet | Fitos, B. Takacs, G. |
| contents | We derive a systematic construction for form factors of relevant fields in the thermal perturbation of the tricritical Ising model, an integrable model with scattering amplitudes described by the $E_7$ bootstrap. We find a new type of recursive structure encoding the information in the bound state fusion structure, which fully determines the form factors of the perturbing field and the order/disorder fields, for which we present a mathematical proof. Knowledge of these form factors enables the systematic computation of correlation functions and dynamical structure factors in systems whose dynamics is governed by the vicinity of a fixed point in the tricritical Ising universality class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_03300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Form factor bootstrap in the thermally perturbed tricritical Ising model Fitos, B. Takacs, G. Statistical Mechanics High Energy Physics - Theory We derive a systematic construction for form factors of relevant fields in the thermal perturbation of the tricritical Ising model, an integrable model with scattering amplitudes described by the $E_7$ bootstrap. We find a new type of recursive structure encoding the information in the bound state fusion structure, which fully determines the form factors of the perturbing field and the order/disorder fields, for which we present a mathematical proof. Knowledge of these form factors enables the systematic computation of correlation functions and dynamical structure factors in systems whose dynamics is governed by the vicinity of a fixed point in the tricritical Ising universality class. |
| title | Form factor bootstrap in the thermally perturbed tricritical Ising model |
| topic | Statistical Mechanics High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.03300 |