Universal properties of 3d O(4) symmetric models: The scaling function of the free energy density and its derivatives

@article{Karsch2011UniversalPO,
  title={Universal properties of 3d O(4) symmetric models: The scaling function of the free energy density and its derivatives},
  author={F. Karsch and J. Engels},
  journal={arXiv: High Energy Physics - Lattice},
  year={2011}
}
We present direct representations of the scaling functions of the 3d O(4) model which are relevant for comparisons to other models, in particular QCD. This is done in terms of expansions in the scaling variable z=t/h^{1/\beta\delta}. The expansions around z=0 and the corresponding asymptotic ones for z --> +/- infty, overlap such that no interpolation is needed. We explicitly present the expansion coefficients which have been determined numerically from data of a previous high statistics… Expand

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