Oleg Lisovyy, Papers

Publications:

Form factors of twist fields in the lattice Dirac theory (with P. Gavrylenko and N. Iorgov)
J. Phys. A: Math. Theor. 45, (2012), 025402; arxiv:1108.3290 [hep-th].

Finite-lattice form factors in free-fermion models (with N. Iorgov)
J. Stat. Mech., (2011), P04011; arXiv:1102.2145 [cond-mat.stat-mech].

Ising correlations and elliptic determinants (with N. Iorgov)
J. Stat. Phys. 143, (2011), 33-59; arXiv:1012.2856 [math-ph].

Dyson's constant for the hypergeometric kernel
in "New trends in quantum integrable systems", eds. B. Feigin, M. Jimbo, M. Okado,
World Scientific, (2011), pp. 243-267; arXiv:0910.1914 [math-ph].

Finite-volume correlation functions of monodromy fields on the lattice: Toeplitz representation
in "Systèmes intégrables et Théorie des champs quantiques", eds. P. Baird, F. Helein, J. Kouneiher, F. Pedit, V. Roubtsov,
Hermann, (2009), pp. 170-186.

On Painlevé VI transcendents related to the Dirac operator on the hyperbolic disk
J. Math. Phys. 49, (2008), 093507; arXiv:0710.5744 [math-ph].

Aharonov-Bohm effect on the Poincaré disk
J. Math. Phys. 48, (2007), 052112; math-ph/0702066.

Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov τ_2-model for N=2
J. Phys. A: Math. Gen. 39, (2006), 2265-2285; nlin/0512026.

Point interactions in one dimension and holonomic quantum fields
Letts. Math. Phys. 77, (2006), 63-81; math-ph/0510095.

Tau functions for the Dirac operator on the cylinder
Comm. Math. Phys. 255, (2005), 61-95; hep-th/0312277.

PDEs for Ising correlation functions on the cylinder (partly expository)
Int. J. Mod. Phys. A19 Suppl., (2004), 267-275.

Correlation function of the two-dimensional Ising model on the finite lattice. II (with A. I. Bugrij)
Theor. & Math. Phys. 140, (2004), 113-127; arXiv:0708.3643 [nlin.SI].

Spin matrix elements in 2D Ising model on the finite lattice (with A. I. Bugrij)
Phys. Letts. A319, (2003), 390-394; arXiv:0708.3625 [nlin.SI].

Magnetic susceptibility of the two-dimensional Ising model on the finite lattice (with A. I. Bugrij)
JETP 94, (2002), 1140-1148; hep-th/0106270.

Correlation function of the 2D Ising model on the cylinder (with A. I. Bugrij)
Ukr. J. Phys. 47, (2002), 179-196.

Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder
Adv. Theor. Math. Phys. 5, (2001), 909-922; hep-th/0108015.

Analytic properties of the propagator in exactly solvable quantum field theory
J. Phys. Studies 4, (2000), 409-414.

Preprints:

Algebraic solutions of the sixth Painlevé equation (with Yu. Tykhyy)
Preprint arxiv:0809.4873 [math.CA], submitted.