External field dependence of the correlation lengths in the three-dimensional O(4) model
High Energy Physics - Lattice
2009-11-10 v1
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. 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.
Keywords
Cite
@article{arxiv.hep-lat/0309005,
title = {External field dependence of the correlation lengths in the three-dimensional O(4) model},
author = {J. Engels and L. Fromme and M. Seniuch},
journal= {arXiv preprint arXiv:hep-lat/0309005},
year = {2009}
}
Comments
3 pages, 4 figures, Lattice2003(higgs) contribution, espcrc2.sty