Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions

Details Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions Exact finite-size scaling with corrections in the two-dimensional Ising model with special boundary conditions

2001-12-19

arxiv.org/abs/hep-lat/0112037v1

Nucl.Phys.Proc.Suppl. 106 (2002) 929-931

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, LaTeX, No figures, Lattice2001(spin)

Scientific paper

The two-dimensional Ising model with Brascamp-Kunz boundary conditions has a partition function more amenable to analysis than its counterpart on a torus. This fact is exploited to exactly determine the full finite-size scaling behaviour of the Fisher zeroes of the model. Moreover, exact results are also determined for the scaling of the specific heat at criticality, for the specific-heat peak and for the pseudocritical points. All corrections to scaling are found to be analytic and the shift exponent $\lambda$ does not coincide with the inverse of the correlation length exponent $1/\nu$.

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