English

Spin matrix elements in 2D Ising model on the finite lattice

Exactly Solvable and Integrable Systems 2015-05-13 v1 Statistical Mechanics High Energy Physics - Theory Mathematical Physics math.MP

Abstract

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 NN.

Keywords

Cite

@article{arxiv.0708.3625,
  title  = {Spin matrix elements in 2D Ising model on the finite lattice},
  author = {A. I. Bugrij and O. Lisovyy},
  journal= {arXiv preprint arXiv:0708.3625},
  year   = {2015}
}

Comments

old paper (2003) posted for archival purposes

R2 v1 2026-06-21T09:11:01.903Z