Casimir effect in critical O(N) models from nonequilibrium Monte Carlo simulations
Andrea Bulgarelli1,2,3, Michele Caselle1,2, Alessandro Nada1,2
1University of Turin, Department of Physics, Via Pietro Giuria 1, I-10125 Turin, Italy.
None:
O(N) vector models in three dimensions, when defined in a geometry with a compact direction and tuned to criticality, exhibit long-range fluctuations which induce a Casimir effect. The strength of the resulting interaction is encoded in the excess free-energy density, which depends on a universal coefficient: the Casimir amplitude. We present a high-precision numerical calculation of the latter by means of a nonequilibrium Monte Carlo algorithm and compare our findings with results obtained from large-N expansions and from the conformal bootstrap.
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