Finite-size-scaling functions for 3d O(4) and O(2) spin models and QCD

Details Finite-size-scaling functions for 3d O(4) and O(2) spin models and QCD Finite-size-scaling functions for 3d O(4) and O(2) spin models and QCD

2001-05-28

arxiv.org/abs/hep-lat/0105028v1

Phys.Lett. B514 (2001) 299-308

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 14 Ps-figures, Latex2e

Scientific paper

10.1016/S0370-2693(01)00798-5

We calculate numerically universal finite-size-scaling functions for the three-dimensional O(4) and O(2) models. The approach of these functions to the infinite-volume scaling functions is studied in detail on the critical and pseudocritical lines. For this purpose we determine the pseudocritical line in two different ways. We find that the asymptotic form of the finite-size-scaling functions is already reached at small values of the scaling variable. A comparison with QCD lattice data for two flavours of staggered fermions shows a similar finite-size behaviour which is compatible with that of the spin models.

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