Conformal anomaly and scaling dimensions of the O(n) model from an exact solution on the honeycomb lattice

Murray T. Batchelor; Henk W.J. Blöte

doi:10.1103/PhysRevLett.61.138

Conformal anomaly and scaling dimensions of the O(n) model from an exact solution on the honeycomb lattice

Murray T. Batchelor^*, Henk W.J. Blöte

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

53 Citations (Scopus)

Abstract

The critical O(n) model on a finite honeycomb lattice is solved by the Bethe-Ansatz method. Amplitudes of the dominant finite-size corrections to part of the eigenspectrum are obtained analytically. A comparison with Cardy's predictions from the theory of conformal invariance leads to the exact results for the conformal anomaly and scaling dimensions.

Original language	English
Pages (from-to)	138-140
Number of pages	3
Journal	Physical Review Letters
Volume	61
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.61.138
Publication status	Published - 1988
Externally published	Yes

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10.1103/PhysRevLett.61.138

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abstract = "The critical O(n) model on a finite honeycomb lattice is solved by the Bethe-Ansatz method. Amplitudes of the dominant finite-size corrections to part of the eigenspectrum are obtained analytically. A comparison with Cardy's predictions from the theory of conformal invariance leads to the exact results for the conformal anomaly and scaling dimensions.",

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AB - The critical O(n) model on a finite honeycomb lattice is solved by the Bethe-Ansatz method. Amplitudes of the dominant finite-size corrections to part of the eigenspectrum are obtained analytically. A comparison with Cardy's predictions from the theory of conformal invariance leads to the exact results for the conformal anomaly and scaling dimensions.

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Conformal anomaly and scaling dimensions of the O(n) model from an exact solution on the honeycomb lattice

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