Bootstrapping the 3d Ising stress tensor
Cyuan-Han Chang, Vasiliy A. Dommes, Rajeev S. Erramilli, Alexandre Homrich, Petr Kravchuk, Aike Liu, Matthew S. Mitchell, David Poland, David Simmons–Duffin
Abstract
A bstract 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.
Topics & Concepts
PhysicsBootstrapping (finance)Ising modelTensor (intrinsic definition)Cauchy stress tensorMathematical physicsTheoretical physicsStatistical physicsQuantum mechanicsGeometryEconometricsMathematicsEconomicsTheoretical and Computational PhysicsQuantum many-body systemsMarkov Chains and Monte Carlo Methods