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

Juergen Engels·Tereza Mendes
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Abstract

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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Juergen Engels, Tereza Mendes. 1999-09-08. Numerical evidence for Goldstone-mode effects in the three-dimensional O(4)-model. https://doi.org/10.1016/s0920-5632(00)91780-8

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