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 modifiedXXZ chain. Scaled gaps are found to behave for large chain lengthL asx+d⦵L+0[(lnL)−1], wherex is the anomalous dimension of the associated primary scaling operator. For the gaps associated with the energy and magnetic operators, the values of the amplitudesd 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 andd are found to be extremely difficult even with data available from large lattices,L∼500.
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Hamer, C.J., Batchelor, M.T. & Barber, M.N. Logarithmic corrections to finite-size scaling in the four-state Potts model. J Stat Phys 52, 679–710 (1988). https://doi.org/10.1007/BF01019724
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DOI: https://doi.org/10.1007/BF01019724