Conformal Anomaly and Scaling Dimensions of the <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">O</mi><mn></mn><mo>(</mo><mi>n</mi><mo>)</mo><mn></mn></math></span> 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 and Henk W. J. Blöte

Phys. Rev. Lett. 61, 138 – Published 11 July 1988; Erratum Phys. Rev. Lett. 61, 1042 (1988)

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.