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Bootstrapping the 3d Ising Stress Tensor

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arxiv 2411.15300 v2 pith:DBQ33E7B submitted 2024-11-22 hep-th cond-mat.stat-mechcond-mat.str-elhep-lat

Bootstrapping the 3d Ising Stress Tensor

classification hep-th cond-mat.stat-mechcond-mat.str-elhep-lat
keywords epsilonsigmabootstrapdeltaisingnumericalstresstensor
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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