Comparison of finite-size-scaling functions for 3d O(N) spin models to QCD

Details Comparison of finite-size-scaling functions for 3d O(N) spin models to QCD Comparison of finite-size-scaling functions for 3d O(N) spin models to QCD

2001-10-05

arxiv.org/abs/hep-lat/0110014v3

Nucl.Phys.Proc.Suppl. 106 (2002) 498-500

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(hightemp), 3 pages, 5 figures, acknowledgements completed, minor typographical errors corrected

Scientific paper

We calculate numerically universal finite-size-scaling functions of the magnetization for the three-dimensional O(4) and O(2) spin 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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