# Goldstone-mode effects and scaling function for the three-dimensional O(4) model

Engels J, Mendes T (2000)

NUCLEAR PHYSICS B 572(1-2): 289-304.

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Engels, Jürgen

^{UniBi}; Mendes, TAbstract

We investigate numerically the three-dimensional O(4) model on 24(3)-120(3) lattices as a function of the magnetic field H. We verify explicitly the singularities induced by Goldstone modes in the low-temperature phase of the model, and show that they are also observed close to the critical temperature. Our results are well described by the perturbative form of the model's magnetic equation of state, with coefficients determined nonperturbatively from our data. The resulting expression Is used to generate the magnetization's scaling function parametrically. (C) 2000 Elsevier Science B.V. All rights reserved.

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Engels J, Mendes T. Goldstone-mode effects and scaling function for the three-dimensional O(4) model.

*NUCLEAR PHYSICS B*. 2000;572(1-2):289-304.Engels, J., & Mendes, T. (2000). Goldstone-mode effects and scaling function for the three-dimensional O(4) model.

*NUCLEAR PHYSICS B*,*572*(1-2), 289-304.Engels, J., and Mendes, T. (2000). Goldstone-mode effects and scaling function for the three-dimensional O(4) model.

*NUCLEAR PHYSICS B*572, 289-304.Engels, J., & Mendes, T., 2000. Goldstone-mode effects and scaling function for the three-dimensional O(4) model.

*NUCLEAR PHYSICS B*, 572(1-2), p 289-304. J. Engels and T. Mendes, “Goldstone-mode effects and scaling function for the three-dimensional O(4) model”,

*NUCLEAR PHYSICS B*, vol. 572, 2000, pp. 289-304. Engels, J., Mendes, T.: Goldstone-mode effects and scaling function for the three-dimensional O(4) model. NUCLEAR PHYSICS B. 572, 289-304 (2000).

Engels, Jürgen, and Mendes, T. “Goldstone-mode effects and scaling function for the three-dimensional O(4) model”.

*NUCLEAR PHYSICS B*572.1-2 (2000): 289-304.
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arXiv hep-lat/9911028

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