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arXiv · 2411.15300

Bootstrapping the 3d Ising Stress Tensor

Cyuan-Han Chang·Vasiliy Dommes·Rajeev S. Erramilli·Alexandre Homrich·Petr Kravchuk·Aike Liu·Matthew S. Mitchell·David Poland·David Simmons-Duffin
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Abstract

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 $\sigma$ and $\epsilon$, and the stress tensor $T_{\mu\nu}$. We obtain new precise determinations of scaling dimensions $(\Delta_\sigma, \Delta_\epsilon) = (0.518148806(24), 1.41262528(29))$ as well as OPE coefficients involving $\sigma$, $\epsilon$, and $T_{\mu\nu}$. We also describe several improvements made along the way to algorithms and software tools for the numerical bootstrap.

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Cyuan-Han Chang, Vasiliy Dommes, Rajeev S. Erramilli, Alexandre Homrich, Petr Kravchuk, Aike Liu, Matthew S. Mitchell, David Poland, David Simmons-Duffin. 2024-11-22. Bootstrapping the 3d Ising Stress Tensor. https://doi.org/10.1007/jhep03(2025)136

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