Bootstrapping the 3d Ising Stress Tensor
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arXiv
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| Format: | Preprint |
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2024
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| author | Chang, Cyuan-Han Dommes, Vasiliy Erramilli, Rajeev S. Homrich, Alexandre Kravchuk, Petr Liu, Aike Mitchell, Matthew S. Poland, David Simmons-Duffin, David |
| author_facet | Chang, Cyuan-Han Dommes, Vasiliy Erramilli, Rajeev S. Homrich, Alexandre Kravchuk, Petr Liu, Aike Mitchell, Matthew S. Poland, David Simmons-Duffin, David |
| contents | We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators $σ$ and $ε$, and the stress tensor $T_{μν}$. We obtain new precise determinations of scaling dimensions $(Δ_σ, Δ_ε) = (0.518148806(24), 1.41262528(29))$ as well as OPE coefficients involving $σ$, $ε$, and $T_{μν}$. We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15300 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bootstrapping the 3d Ising Stress Tensor Chang, Cyuan-Han Dommes, Vasiliy Erramilli, Rajeev S. Homrich, Alexandre Kravchuk, Petr Liu, Aike Mitchell, Matthew S. Poland, David Simmons-Duffin, David High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators $σ$ and $ε$, and the stress tensor $T_{μν}$. We obtain new precise determinations of scaling dimensions $(Δ_σ, Δ_ε) = (0.518148806(24), 1.41262528(29))$ as well as OPE coefficients involving $σ$, $ε$, and $T_{μν}$. We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap. |
| title | Bootstrapping the 3d Ising Stress Tensor |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2411.15300 |