Conformal symmetry of the critical 3D Ising model inside a sphere

Abstract

We perform Monte-Carlo simulations of the three-dimensional Ising model at the critical temperature and zero magnetic field. We simulate the system in a ball with free boundary conditions on the two dimensional spherical boundary. Our results for one and two point functions in this geometry are consistent with the predictions from the conjectured conformal symmetry of the critical Ising model.

9 figures; references added in v2

References in corpus (4)

• Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents
• Bootstrapping Mixed Correlators in the 3D Ising Model
• Boundary and Interface CFTs from the Conformal Bootstrap
• The thermodynamic Casimir force: A Monte Carlo study of the crossover between the ordinary and the normal surface universality class

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