Improved actions for the two-dimensional sigma-model
Sergio Caracciolo, Andrea Montanari, Andrea Pelissetto
Abstract
For the O(N) sigma-model we studied the improvement program for actions with two- and four-spin interactions. An interesting example is an action which is reflection-positive, on-shell improved, and has all the coupling defined on an elementary plaquette. We show the large N solution and preliminary Monte Carlo results for N=3.
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