### Abstract

Original language | English |
---|---|

Pages (from-to) | 1547-1550 |

Number of pages | 4 |

Journal | Physics Letters. Section A: General, Atomic and Solid State Physics |

Volume | 372 |

Issue number | 10 |

DOIs | |

Publication status | Published - 3 Mar 2008 |

Externally published | Yes |

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### Cite this

*Physics Letters. Section A: General, Atomic and Solid State Physics*,

*372*(10), 1547-1550. https://doi.org/10.1016/j.physleta.2007.10.053

}

*Physics Letters. Section A: General, Atomic and Solid State Physics*, vol. 372, no. 10, pp. 1547-1550. https://doi.org/10.1016/j.physleta.2007.10.053

**Exact solution of the Faddeev-Volkov model.** / Vladimir, Bazhanov; Mangazeev, Vladimir; Sergeev, Sergey.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Exact solution of the Faddeev-Volkov model

AU - Vladimir, Bazhanov

AU - Mangazeev, Vladimir

AU - Sergeev, Sergey

PY - 2008/3/3

Y1 - 2008/3/3

N2 - The Faddeev–Volkov model is an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. It serves as a lattice analog of the sinh-Gordon and Liouville models and intimately connected with the modular double of the quantum group Uq(sl2). The free energy of the model is exactly calculated in the thermodynamic limit. In the quasi-classical limit c→+∞ the model describes quantum fluctuations of discrete conformal transformations connected with the Thurston's discrete analogue of the Riemann mappings theorem. In the strongly-coupled limit c→1 the model turns into a discrete version of the D=2 Zamolodchikov's “fishing-net” model.

AB - The Faddeev–Volkov model is an Ising-type lattice model with positive Boltzmann weights where the spin variables take continuous values on the real line. It serves as a lattice analog of the sinh-Gordon and Liouville models and intimately connected with the modular double of the quantum group Uq(sl2). The free energy of the model is exactly calculated in the thermodynamic limit. In the quasi-classical limit c→+∞ the model describes quantum fluctuations of discrete conformal transformations connected with the Thurston's discrete analogue of the Riemann mappings theorem. In the strongly-coupled limit c→1 the model turns into a discrete version of the D=2 Zamolodchikov's “fishing-net” model.

U2 - 10.1016/j.physleta.2007.10.053

DO - 10.1016/j.physleta.2007.10.053

M3 - Article

VL - 372

SP - 1547

EP - 1550

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 10

ER -