Precision check on triviality of phi^4 theory by a new simulation method

Abstract

We report precise simulations of phi^4 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.

10 pages, 3 figures, Introductory paragraph added, one line missing in the table added, to appear in Phys. Rev. D