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

Journal of High Energy Physics, Aug 2015

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.

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Catarina Cosme, J. M. Viana Parente Lopes, João Penedones. Conformal symmetry of the critical 3D Ising model inside a sphere, Journal of High Energy Physics, 2015, 22, DOI: 10.1007/JHEP08(2015)022