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DOE OSTI · 3005951

Bootstrapping the 3d Ising stress tensor

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 σ and ϵ, and the stress tensor T μν . We obtain new precise determinations of scaling dimensions (∆ σ , ∆ 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.

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Chang, Cyuan-Han [California Institute of Technology (CalTech), Pasadena, CA (United States); University of Chicago, IL (United States)] (ORCID:0000000271333553), Dommes, Vasiliy [California Institute of Technology (CalTech), Pasadena, CA (United States)] (ORCID:0000000343346151), Erramilli, Rajeev S. [Institut des Hautes Études Scientifiques, Bures-sur-Yvette (France)] (ORCID:0000000198545196), Homrich, Alexandre [Perimeter Institute for Theoretical Physics, Waterloo, ON (Canada); University of California, Santa Barbara, CA (United States)] (ORCID:0000000313262766), Kravchuk, Petr [King’s College London (United Kingdom)] (ORCID:0000000309773686), Liu, Aike [California Institute of Technology (CalTech), Pasadena, CA (United States)] (ORCID:0009000985094635), Mitchell, Matthew S. [Yale University, New Haven, CT (United States)] (ORCID:0000000314248819), Poland, David [Yale University, New Haven, CT (United States)] (ORCID:0000000338542430), Simmons-Duffin, David [California Institute of Technology (CalTech), Pasadena, CA (United States)] (ORCID:0000000229379515). 2025-03-18. Bootstrapping the 3d Ising stress tensor. https://doi.org/10.1007/jhep03(2025)136

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