External field dependence of the correlation lengths in the three-dimensional O(4) model

We investigate numerically the transverse and longitudinal correlation lengths of the three-dimensional O(4) model as a function of the external field H. In the low-temperature phase we verify explicitly the H^{-1/2}-dependence of the transverse correlation length, which is expected due to the Goldstone modes of the model. On the critical line we find the universal amplitude ratio xi^c_T / xi^c_L = 1.99(1). From our data we derive the universal scaling function for the transverse correlation length. The H-dependencies of the correlation lengths in the high temperature phase are discussed and shown to be in accord with the scaling functions.

Note:

3 pages, 4 figures, Lattice2003(higgs) contribution, espcrc2.sty Report-no: BI-TP 2003/15

talk: Tsukuba 2003/07/15
spin: model
symmetry: O(4)
lattice field theory
dimension: 3
correlation: length
external field
spin: longitudinal
spin: transverse
critical phenomena

References(5)

Figures(0)

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