Factorized finite-size Ising model spin matrix elements from Separation of Variables

Abstract

Using the Sklyanin-Kharchev-Lebedev method of Separation of Variables adapted to the cyclic Baxter--Bazhanov--Stroganov or ${\tau }^{(2)}$-model, we derive factorized formulae for general finite-size Ising model spin matrix elements, proving a recent conjecture by Bugrij and Lisovyy.

References in corpus (6)

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• On ${\tau }^{(2)}$-model in Chiral Potts Model and Cyclic Representation of Quantum Group $U_q(s{l}_2)$
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Cited by in corpus (14)

• Dynamics in the Ising field theory after a quantum quench
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra I
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• On determinant representations of scalar products and form factors in the SoV approach: the XXX case
• The open XXZ spin chain in the SoV framework: scalar product of separate states
• On the form factors of local operators in the lattice sine-Gordon model
• Spin operator matrix elements in the quantum Ising chain: fermion approach
• Transfer matrix spectrum for cyclic representations of the 6-vertex reflection algebra II
• Form-factors of the finite quantum XY-chain
• The tau_2-model and the chiral Potts model revisited: completeness of Bethe equations from Sklyanin's SOV method
• On Separation of Variables for Reflection Algebras
• Identities in the Superintegrable Chiral Potts Model