Eur. Phys. J. B 34, 205-217 (2003)
https://doi.org/10.1140/epjb/e2003-00213-5

Shape dependence of the finite-size scaling limit in a strongly anisotropic O(∞) model

¹ Dipartimento di Fisica and INFN, Università di Milano, and INFM-NEST, 20133 Milano, Italy
² Max-Planck-Institut für Metallforschung, Heisenbergstr. 3, 70569, Stuttgart, Germany and Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, 70569 Stuttgart, Germany
³ Dipartimento di Matematica Applicata and INFN, Università di Pisa, 56100 Pisa, Italy
⁴ Dipartimento di Fisica and INFN, Università di Roma “La Sapienza”, 00185 Roma, Italy

Corresponding authors: ^a sergio.caracciolo@mi.infn.it - ^b gambassi@mf.mpg.de - ^c m.gubinelli@dma.unipi.it - ^d Andrea.Pelissetto@roma1.infn.it

Received: 9 April 2003
Published online: 4 August 2003

Abstract

We discuss the shape dependence of the finite-size scaling limit in a strongly anisotropic O(N) model in the large-N limit. We show that scaling is observed even if an incorrect value for the anisotropy exponent is considered. However, the related exponents may only be effective ones, differing from the correct critical exponents of the model. We discuss the implications of our results for numerical finite-size scaling studies of strongly anisotropic systems.