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Logarithmic corrections to finite-size scaling in strips

J L Cardy

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The corrections to the finite-size scaling behaviour of the eigenvalues of the transfer matrix of a critical theory defined on an infinitely long strip of finite width, which occur when the Hamiltonian contains a marginal operator, are computed using conformal invariance. They show a calculable universal logarithmic character. For the four-state Potts model they agree with numerical data.


PACS

02.10.Yn Matrix theory

05.70.Ce Thermodynamic functions and equations of state

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

05.10.Cc Renormalization group methods

MSC

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82B28 Renormalization group methods (See also 81T17)

82B30 Statistical thermodynamics (See also 80-XX)

15A18 Eigenvalues, singular values, and eigenvectors

Subjects

Mathematical physics

Computational physics

Statistical physics and nonlinear systems

Dates

Issue 17 (1 December 1986)


A Corrigendum for this article has been published in 1987 J. Phys. A: Math. Gen. 20 5039


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