## Abstract

The leading corrections to finite-size scaling predictions for eigenvalues of the quantum Hamiltonian limit of the critical four-state Potts model are calculated analytically from the Bethe ansatz equations for equivalent eigenstates of a modified XXZ chain. Scaled gaps are found to behave for large chain length L as x+d{Plimsoll sign}L+0[(ln L)^{-1}], where x is the anomalous dimension of the associated primary scaling operator. For the gaps associated with the energy and magnetic operators, the values of the amplitudes d are in agreement with predictions of conformai invariance. The implications of these analytical results for the extrapolation of finite lattice data are discussed. Accurate estimates of x and d are found to be extremely difficult even with data available from large lattices, L∼500.

Original language | English |
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Pages (from-to) | 679-710 |

Number of pages | 32 |

Journal | Journal of Statistical Physics |

Volume | 52 |

Issue number | 3-4 |

DOIs | |

Publication status | Published - Aug 1988 |

Externally published | Yes |