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Anomaly in the lattice partition function

โœ Scribed by M. Hachi


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
316 KB
Volume
172
Category
Article
ISSN
0375-9601

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The partition function of the zero-field ``Eight-Vertex'' model on a square M by N lattice is calculated exactly in the limit of M, N large. This model includes the dimer, ice and zerofield Ising, F and KDP models as special cases. In general the free energy has a branch point singularity at a phase

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A MacMahon symmetric function is a formal power series in a finite number of alphabets that is invariant under the diagonal action of the symmetric group. In this article, we show that the MacMahon symmetric functions are the generating functions for the orbits of sets of functions indexed by partit