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On the evaluation of universal non-perturbative constants in O(N) σ models

1997/02/10 by M. Campostrini, Massimo Campostrini, A. Pelissetto +5 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #hep-lat #hep-th

paper · pdf · doi:10.1016/s0370-2693(97)00456-5

published as Phys.Lett. B402 (1997) 141-146 · 10 pages, revtex

arxiv created 1997/02/10 · openalex publication_date 1997/06/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate the relation between on-shell and zero-momentum non-perturbative quantities entering the parametrization of the two-point Green's function of two-dimensional non-linear O(N) sigma models. We present accurate estimates of ratios of mass-scales and renormalization constants, obtained by an analysis of the strong-coupling expansion of the two-point Green's function. These ratios allow to connect exact known on-shell results with typical zero-momentum lattice evaluations. Our results are supported by the 1/N-expansion.

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