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- Title
Another solution of 2D Ising model.
- Authors
Vergeles, S. N.
- Abstract
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.
- Subjects
ISING model; CLIFFORD algebras; LATTICE theory; DIRAC equation; POLYNOMIALS; SPINOR analysis
- Publication
Journal of Experimental & Theoretical Physics, 2009, Vol 108, Issue 4, p718
- ISSN
1063-7761
- Publication type
Article
- DOI
10.1134/S1063776109040189