Numerical evidence for Goldstone-mode effects in the three-dimensional O(4)-model

Details Numerical evidence for Goldstone-mode effects in the three-dimensional O(4)-model Numerical evidence for Goldstone-mode effects in the three-dimensional O(4)-model

1999-09-02

arxiv.org/abs/hep-lat/9909013v2

Nucl.Phys.Proc.Suppl. 83 (2000) 700-702

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99 (spin models), added preprint number and corrected acknowledgements

Scientific paper

We investigate the three-dimensional O(4)-model on 24^3--96^3 lattices as a function of the magnetic field H. Below the critical point, in the broken phase, we confirm explicitly the H^{1/2} dependence of the magnetization and the corresponding H^{-1/2} divergence of the longitudinal susceptibility, which are predicted from the existence of Goldstone modes. At the critical point the magnetization follows the expected finite-size-scaling behavior, with critical exponent delta = 4.87(1).

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