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

Jul, 2003

23 pages

Published in:

Nucl.Phys.B 675 (2003) 533-554

e-Print:

hep-lat/0307032 [hep-lat]

DOI:

10.1016/j.nuclphysb.2003.09.060

Report number:

BI-TP-2003-19

View in:

ADS Abstract Service

reference search47 citations

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Abstract:

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

Note:

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

64.10.+h
75.10.Hk
05.50.+q
Correlation length
O (4) model
Goldstone modes
Scaling function
Universal amplitude ratios
O(4) model
sigma model: nonlinear

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