A look at the operator product expansion in critical dynamics
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910826465591296 |
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| author | Pagani, Carlo Sobieray, Janik |
| author_facet | Pagani, Carlo Sobieray, Janik |
| contents | We consider the critical relaxation of the Ising model, the so-called model A, and study its operator product expansion. Within perturbation theory, we focus on the operator product expansions of the two-point function and the response function. At the fixed point, we normalize the coefficients and the scaling variables so that the result displays universality. The role of the fluctuation-dissipation theorem is also discussed, and it is shown that it provides non-perturbative relations among the operator product expansion coefficients. Finally, the large N limit is considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06142 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A look at the operator product expansion in critical dynamics Pagani, Carlo Sobieray, Janik Statistical Mechanics We consider the critical relaxation of the Ising model, the so-called model A, and study its operator product expansion. Within perturbation theory, we focus on the operator product expansions of the two-point function and the response function. At the fixed point, we normalize the coefficients and the scaling variables so that the result displays universality. The role of the fluctuation-dissipation theorem is also discussed, and it is shown that it provides non-perturbative relations among the operator product expansion coefficients. Finally, the large N limit is considered. |
| title | A look at the operator product expansion in critical dynamics |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2404.06142 |