Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory: 35 (NATO Science Series II: Mathematics, Physics and Chemistry, 35)

ISBN 10: 0792371844 / ISBN 13: 9780792371847

Editore: Springer, 2001

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Dati bibliografici

• Titolo: Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory: 35 (NATO Science Series II: Mathematics, Physics and Chemistry, 35)
• Editore: Springer
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 0792371844
• ISBN 13: 9780792371847
• Rilegatura: Paperback
• Condizione: Good

Descrizione articolo

Riassunto

Finally, a major group of papers is concerned with the purely mathematical framework that underlies the physically-motivated research on quantum integrable models, including elliptic deformations of groups, representation theory of non-compact quantum groups, and quantization of moduli spaces.

Contenuti

A new basis for Bethe vectors of the Heisenberg model; T.-D. Albert, K. Ruhlig. The form factors and quantum equation of motion in the sine-Gordon model; H. Babudjian, M. Karowski. Instantons, Hilbert schemes and integrability; H.W. Braden, N.A. Nekrasov. Low-temperature behaviour of 2D lattice SU(2) spin model; O. Borisenko, V. Kushnir. Form factor representation of the correlation functions of the two dimensional Ising model on a cylinder; A.I. Bugrij. Aspects of integrable quantum field theories with boundaries; E. Corrigan. Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras; B.L. Feigin, A.V. Odesskii. Quantized moduli spaces of the bundles on the elliptic curve and their applications; B.L. Feigin, A.V. Odesskii. Thermodynamic Bethe ansatz and form factors for the homogeneous sine-Gordon models; A. Fring. The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials; G. von Gehlen, S.-S. Roan. Dualities in integrable systems: geometrical aspects; A. Gorsky, V. Rubtsov. Integrable evolutionary equations via Lie algebras on hyperelliptic curves; P. Holod, T. Skrypnyk. The quantum dilogarithm and Dehn twists in quantum Teichmüller theory; R. Kashaev. Unitary representations of the modular and two-particle q-deformed Toda chains; S. Kharchev, et al. The Algebraic Bethe Ansatz and the correlation functions of the Heisenberg magnet; N.A. Kitanine, N.A. Slavnov. Dual algebras with non-linear Posson brackets; A. Korovnichenko, A. Zhedanov. Sine-Gordon solitons vs. relativistis Calogero-Moser particles; S.N.M. Ruijsenaars. Integrable three dimensional models in wholly discrete space-time; S. Sergeev. Elliptic beta integrals andspecial functions of hypergeometric type; V.P. Spiridonov. The 9-vertex model with a special value of the crossing parameter and the related XYZ spin chain; Y. Stroganov. Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions; R.A. Usmanov. Index. List of the Workshop Participants.