Finite size scaling functions for 3-d O(4) and O(2) spin models and QCD
May, 2001
13 pages
Published in:
- Phys.Lett.B 514 (2001) 299-308
e-Print:
- hep-lat/0105028 [hep-lat]
Report number:
- BI-TP-2001-07
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Abstract:
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.Note:
- 14 pages, 14 Ps-figures, Latex2e Report-no: BI-TP 2001/07
- 12.38.Gc
- 64.60.C
- 75.10.H
- Finite-size-scaling function
- O ( N ) model
- Quantum chromodynamics
- O( N) model
- lattice field theory
- quantum chromodynamics
- spin: model
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