We compute the corrections to finite-size scaling for the N-vector model on the square lattice in the large-N limit. We find that corrections behave as log L/L(2). For tree-level improved Hamiltonians corrections behave as 1/L(2). In general l-loop improvement is expected to reduce this behavior to 1/(L(2)log(l)L). We show that the finite-size scaling limit and the perturbative limit do not commute in the calculation of the corrections to finite-size scaling. We present a detailed study of the corrections for the RP(infinity) model. [S0556-2821(98)03520-6].

Corrections to finite-size scaling in the lattice N-vector model for N=infinity / S., Caracciolo; Pelissetto, Andrea. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - STAMPA. - 58:(1998), pp. 105007, 1-28. [10.1103/physrevd.58.105007]

Corrections to finite-size scaling in the lattice N-vector model for N=infinity

PELISSETTO, Andrea
1998

Abstract

We compute the corrections to finite-size scaling for the N-vector model on the square lattice in the large-N limit. We find that corrections behave as log L/L(2). For tree-level improved Hamiltonians corrections behave as 1/L(2). In general l-loop improvement is expected to reduce this behavior to 1/(L(2)log(l)L). We show that the finite-size scaling limit and the perturbative limit do not commute in the calculation of the corrections to finite-size scaling. We present a detailed study of the corrections for the RP(infinity) model. [S0556-2821(98)03520-6].
1998
01 Pubblicazione su rivista::01a Articolo in rivista
Corrections to finite-size scaling in the lattice N-vector model for N=infinity / S., Caracciolo; Pelissetto, Andrea. - In: PHYSICAL REVIEW D. - ISSN 0556-2821. - STAMPA. - 58:(1998), pp. 105007, 1-28. [10.1103/physrevd.58.105007]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/247696
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