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Phys. Rev. E 64, 066106 (2001) [4 pages]

Simplifying Kaufman’s solution of the two-dimensional Ising model

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Boris Kastening*
Institut für Theoretische Physik, Freie Universität Berlin Arnimallee 14, D-14195 Berlin, Germany

Received 25 April 2001; revised 2 August 2001; published 13 November 2001

We considerably simplify Kaufman’s solution of the two-dimensional Ising model by introducing two commuting representations of the complex rotation group SO(2n,C). All eigenvalues of the transfer matrix and therefore the partition function are found in a straightforward way.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.066106
DOI:
10.1103/PhysRevE.64.066106
PACS:
05.50.+q, 68.35.Rh, 05.70.Ce, 64.60.Cn

*Email address: ka@physik.fu-berlin.de