Precision check on triviality of phi4 theory by a new simulation method

Abstract

We report precise simulations of phi4 theory in the Ising limit. A recent technique to stochastically evaluate the all-order strong coupling expansion is combined with exact identities in the closely related Aizenman random current representation. In this way high precision estimates of the renormalized coupling are possible at low CPU cost. As a sample application we present results for the unbroken phase of the Ising model in dimensions 3, 4 and 5 and investigate the question of triviality by studying a finite size scaling continuum limit.

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