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

Caracciolo, Sergio; Gambassi, Andrea; Gubinelli, Massimiliano; Pelissetto, Andrea

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

Authors

Caracciolo, Sergio

Gambassi, Andrea

Gubinelli, Massimiliano

Pelissetto, Andrea

Description

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.
21 pages, 4 figures