Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2007-08-27
Phys. Lett. A319 (2003) 390-394
Nonlinear Sciences
Exactly Solvable and Integrable Systems
old paper (2003) posted for archival purposes
Scientific paper
We present explicit formulas for all spin matrix elements in the 2D Ising model with the nearest neighbor interaction on the finite periodic square lattice. These expressions generalize the known results [Phys. Rev. D19, (1979), 2477--2479; hep-th/0107117; hep-th/0112167] (coincide with them in the appropriate limits) and fulfill the test of straightforward transfer matrix calculations for finite $N$.
Bugrij Anatolij I.
Lisovyy Oleg
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