Correlation lengths and scaling functions in the three-dimensional O(4) model

Details Correlation lengths and scaling functions in the three-dimensional O(4) model Correlation lengths and scaling functions in the three-dimensional O(4) model

2003-07-31

arxiv.org/abs/hep-lat/0307032v2

Nucl.Phys. B675 (2003) 533-554

Physics

High Energy Physics

High Energy Physics - Lattice

24 pages, 13Ps-figures, Latex2e,one page added,version to appear in Nucl. Phys. B[FS]

Scientific paper

We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. From our data we calculate the scaling function of the transverse correlation length, and that of the longitudinal correlation length for T>T_c. We show that the scaling functions do not only describe the critical behaviours of the correlation lengths but encompass as well the predicted Goldstone effects, in particular the H^{-1/2}-dependence of the transverse correlation length for T

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