The thermal bootstrap for the critical O(N) model
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912427807866880 |
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| author | Barrat, Julien Marchetto, Enrico Miscioscia, Alessio Pomoni, Elli |
| author_facet | Barrat, Julien Marchetto, Enrico Miscioscia, Alessio Pomoni, Elli |
| contents | We propose a numerical method to estimate one-point functions and the free-energy density of conformal field theories at finite temperature by solving the Kubo-Martin-Schwinger condition for the two-point functions of identical scalars. We apply the method for the critical O(N) model for N = 1,2,3 in 3 $\leq$ d $\leq$ 4. We find agreement with known results from Monte Carlo simulations and previous results for the 3d Ising model, and we provide new predictions for N = 2,3. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00978 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The thermal bootstrap for the critical O(N) model Barrat, Julien Marchetto, Enrico Miscioscia, Alessio Pomoni, Elli High Energy Physics - Theory We propose a numerical method to estimate one-point functions and the free-energy density of conformal field theories at finite temperature by solving the Kubo-Martin-Schwinger condition for the two-point functions of identical scalars. We apply the method for the critical O(N) model for N = 1,2,3 in 3 $\leq$ d $\leq$ 4. We find agreement with known results from Monte Carlo simulations and previous results for the 3d Ising model, and we provide new predictions for N = 2,3. |
| title | The thermal bootstrap for the critical O(N) model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.00978 |