Recently generated long strong-coupling series for the two-point Green's functions of asymptotically free O(N) lattice sigma models are analyzed, focusing on the evaluation of dimensionless renormalization-group-invariant ratios of physical quantities and applying resummation techniques to series in the inverse temperature beta and in the energy E. Square, triangular, and honeycomb lattices are considered, as a test of universality and in order to estimate systematic errors. Large-N solutions are carefully studied in order to establish benchmarks for series coefficients and resummations. Scaling and universality are verified. Ali invariant ratios related to the large-distance properties of the two-point functions vary monotonically with N, departing from their large-N values only by a few pet mille even down to N=3.

Strong-coupling analysis of two-dimensional O(N) a models with N>=3 on square, triangular, and honeycomb lattices / M., Campostrini; Pelissetto, Andrea; P., Rossi; E., Vicari. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - STAMPA. - 54:(1996), pp. 1782-1808. [10.1103/physrevd.54.1782]

Strong-coupling analysis of two-dimensional O(N) a models with N>=3 on square, triangular, and honeycomb lattices

PELISSETTO, Andrea;
1996

Abstract

Recently generated long strong-coupling series for the two-point Green's functions of asymptotically free O(N) lattice sigma models are analyzed, focusing on the evaluation of dimensionless renormalization-group-invariant ratios of physical quantities and applying resummation techniques to series in the inverse temperature beta and in the energy E. Square, triangular, and honeycomb lattices are considered, as a test of universality and in order to estimate systematic errors. Large-N solutions are carefully studied in order to establish benchmarks for series coefficients and resummations. Scaling and universality are verified. Ali invariant ratios related to the large-distance properties of the two-point functions vary monotonically with N, departing from their large-N values only by a few pet mille even down to N=3.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/75201
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