# Equation of state and Goldstone-mode effects of the three-dimensional O(2) model

Engels J, Holtmann S, Mendes T, Schulze T (2000) *PHYSICS LETTERS B* 492(1-2): 219-227.

Download

**No fulltext has been uploaded. References only!**

*Journal Article*|

*Original Article*|

*Published*|

*English*

No fulltext has been uploaded

Author

Abstract

We investigate numerically the three-dimensional O(2) model on 8(3)-160(3) lattices as a function of the magnetic field H. In the low-temperature phase we verify the H-dependence of the magnetization M induced by Goldstone modes and determine M for V --> infinity on the coexistence line both by extrapolation and by chiral perturbation theory. This enables us to calculate the corresponding critical amplitude. At T-c the critical scaling behaviour of the magnetization as a function of H is used to determine another critical amplitude. In both cases we find negative corrections-to-scaling. Our low-temperature results are well described by the perturbative form of the model's magnetic equation of state, with coefficients determined nonperturbatively from our data. The O(2) scaling function for the magnetization is found to have a smaller slope than the one for the O(4) model. (C) 2000 Elsevier Science B.V. All rights reserved.

Keywords

Publishing Year

ISSN

PUB-ID

### Cite this

Engels J, Holtmann S, Mendes T, Schulze T. Equation of state and Goldstone-mode effects of the three-dimensional O(2) model.

*PHYSICS LETTERS B*. 2000;492(1-2):219-227.Engels, J., Holtmann, S., Mendes, T., & Schulze, T. (2000). Equation of state and Goldstone-mode effects of the three-dimensional O(2) model.

*PHYSICS LETTERS B*,*492*(1-2), 219-227. doi:10.1016/S0370-2693(00)01079-0Engels, J., Holtmann, S., Mendes, T., and Schulze, T. (2000). Equation of state and Goldstone-mode effects of the three-dimensional O(2) model.

*PHYSICS LETTERS B*492, 219-227.Engels, J., et al., 2000. Equation of state and Goldstone-mode effects of the three-dimensional O(2) model.

*PHYSICS LETTERS B*, 492(1-2), p 219-227. J. Engels, et al., “Equation of state and Goldstone-mode effects of the three-dimensional O(2) model”,

*PHYSICS LETTERS B*, vol. 492, 2000, pp. 219-227. Engels, J., Holtmann, S., Mendes, T., Schulze, T.: Equation of state and Goldstone-mode effects of the three-dimensional O(2) model. PHYSICS LETTERS B. 492, 219-227 (2000).

Engels, Jürgen, Holtmann, S, Mendes, T, and Schulze, T. “Equation of state and Goldstone-mode effects of the three-dimensional O(2) model”.

*PHYSICS LETTERS B*492.1-2 (2000): 219-227.
This data publication is cited in the following publications:

This publication cites the following data publications:

### Export

0 Marked Publications### Web of Science

View record in Web of Science®### Sources

arXiv hep-lat/0006023

Inspire 529296