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arXiv:hep-lat/0509043·v1·High Energy Physics — Lattice

Cutoff effects in the O(N) sigma model at large N

Ulli Wolff🇩🇪 · Francesco Knechtli🇩🇪 · Bjoern Leder🇩🇪 · Janos Balog🇭🇺

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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.

Comments: 6 pages, 2 figures, contribution of U.W. to Lat05, Dublin

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