The Ising model on a cylinder: universal finite size corrections and diagonalized action

Abstract

Finite size corrections to the pressure (free energy) of the Ising model on a 2 dimensional cylinder are calculated and shown to be consistent with the predictions of conformal field theory. The exact solution of the model is expressed in terms of the determinant of a block-diagonal matrix.

arXiv comment17 pages, LaTeX

References in corpus (4)

• Ising model on nonorientable surfaces: Exact solution for the Moebius strip and the Klein bottle
• Exact finite-size corrections for the square lattice Ising model with Brascamp-Kunz boundary conditions
• The scaling limit of the energy correlations in non integrable Ising models
• Universal finite size corrections and the central charge in non solvable Ising models

Cited by in corpus (2)

• Non-integrable Ising models in cylindrical geometry: Grassmann representation and infinite volume limit
• The boundary disorder correlation for the Ising model on a cylinder