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

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).

Note:

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

talk: Pisa 1999/06/29
model: spin
symmetry: O(4)
dimension: 3
lattice field theory
magnetic field: external field
critical phenomena
scaling: finite size
Goldstone particle
numerical calculations: Monte Carlo

References(4)

Figures(0)

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