The partition function of the Ising model on a two-dimensional regular lattice is calculated by using the matrix representation of a Clifford algebra (the Dirac algebra), with number of generators equal to the number of lattice sites. It is shown that the partition function over all loops in a 2D lattice including self-intersecting ones is the trace of a polynomial in terms of Dirac matrices. The polynomial is an element of the rotation group in the spinor representation. Thus, the partition function is a function of a character on an orthogonal group of a high degree in the spinor representation. © 2009 Pleiades Publishing, Ltd.
CITATION STYLE
Vergeles, S. N. (2009). Another solution of 2D Ising model. Journal of Experimental and Theoretical Physics, 108(4), 718–724. https://doi.org/10.1134/S1063776109040189
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