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Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N

Sergio Caracciolo·Andrea Pelissetto
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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 behaviour to 1/(L^2 \log^l L). We show that the finite-size-scaling and the perturbative limit do not commute in the calculation of the corrections to finite-size scaling. We present also a detailed study of the corrections for the RP^N-model.

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Sergio Caracciolo, Andrea Pelissetto. 1998-04-01. Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N. https://doi.org/10.1103/physrevd.58.105007

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