Cutoff effects in the O(N) sigma model at large N
Ulli Wolff, Francesco Knechtli, Bjoern Leder, Janos Balog
TL;DR
This paper reviews the computation of the step scaling function in the O(N) sigma model at large N, providing nonperturbative results to test continuum extrapolation methods in lattice field theory.
Contribution
It offers practically exact nonperturbative results for the finite size mass-gap, enabling assessment of continuum extrapolation procedures in lattice field theory.
Findings
Nonperturbative results for finite and vanishing lattice spacing
Evaluation of standard continuum extrapolation procedures
Insights into cutoff effects in the O(N) sigma model at large N
Abstract
The computation of the step scaling function for the finite size mass-gap in the O(N) sigma model at large N is reviewed. Practically exact nonperturbative results become available for both finite and vanishing lattice spacing. We use them as a testbed to investigate standard procedures of continuum extrapolation in lattice field theory.
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Taxonomy
TopicsTheoretical and Computational Physics · Quantum Chromodynamics and Particle Interactions · Stochastic processes and statistical mechanics