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

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arxiv 0902.3100 v2 pith:L2XTUCUC submitted 2009-02-18 hep-lat cond-mat.stat-mechhep-th

Ulli Wolff This is my paper · ORCID
classification hep-latcond-mat.stat-mechhep-th
keywords couplingisinglimitprecisiontheorytrivialityaizenmanall-order
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Safety versus triviality on the lattice

    hep-lat 2019-08 conditional novelty 6.0 of 10

    For SU(2) with 24 and 48 Dirac flavors, the lattice gradient-flow coupling matches the perturbative two-loop running at accessible scales and refuses to grow large, which is compatible with a Landau pole but does not ...

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