G von Gehlen et al 2008 J. Phys. A: Math. Theor. 41 095003 doi:10.1088/1751-8113/41/9/095003
Form-factors in the Baxter–Bazhanov–Stroganov model II: Ising model on the finite lattice
G von Gehlen1, N Iorgov2, S Pakuliak3,4, V Shadura2 and Yu Tykhyy2,5
Show affiliationsWe continue our investigation of the Baxter–Bazhanov–Stroganov or τ(2)-model using the method of separation of variables (von Gehlen et al 2006 J. Phys. A: Math. Gen. 39 7257, 2007 J. Phys. A: Math. Theor. 40 14117). In this paper we derive for the first time the factorized formula for form-factors of the Ising model on a finite lattice conjectured previously by Bugrij and Lisovyy (2003 Phys. Lett. A 319 390, 2003 J. Theor. Math. Phys. 140 987). We also find the matrix elements of the spin operator for the finite quantum Ising chain in a transverse field.
Dedicated to Professor Anatoly Bugrij on the occasion of his 60-th birthday
- PACS
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
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Issue 9 (7 March 2008)
Received 10 December 2007, in final form 20 January 2008
Published 19 February 2008
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Form-factors in the Baxter–Bazhanov–Stroganov model II: Ising model on the finite lattice
G von Gehlen et al 2008 J. Phys. A: Math. Theor. 41 095003
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