Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic. The first group of papers published here is concerned with integrable structures of quantum lattice mo...

Full description

Bibliographic Details
Other Authors: Pakuliak, S. (Editor), von Gehlen, G. (Editor)
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2001, 2001
Edition:1st ed. 2001
Series:NATO Science Series II: Mathematics, Physics and Chemistry, Mathematics, Physics and Chemistry
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
LEADER 03770nmm a2200349 u 4500
001 EB000714856
003 EBX01000000000000000567938
005 00000000000000.0
007 cr|||||||||||||||||||||
008 140122 ||| eng
020 |a 9789401006705 
100 1 |a Pakuliak, S.  |e [editor] 
245 0 0 |a Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory  |h Elektronische Ressource  |c edited by S. Pakuliak, G. von Gehlen 
250 |a 1st ed. 2001 
260 |a Dordrecht  |b Springer Netherlands  |c 2001, 2001 
300 |a VII, 335 p  |b online resource 
505 0 |a A new basis for Bethe vectors of the Heisenberg model -- The form factors and quantum equation of motion in the sine-Gordon model -- Instantons, Hilbert schemes and integrability -- Low-temperature behaviour of 2D lattice SU(2) spin model -- Form factor representation of the correlation functions of the two dimensional Ising model on a cylinder -- Aspects of integrable quantum field theories with boundaries -- Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras -- Quantized moduli spaces of the bundles on the elliptic curve and their applications -- Thermodynamic Bethe ansatz and form factors for the homogeneous sine-Gordon models -- The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials -- Dualities in integrable systems: geometrical aspects -- hyperelliptic curves -- The quantum dilogarithm and Dehn twists in quantum Teichmüller theory -- Unitary representations of the modular and two-particle q-deformed Toda chains -- The Algebraic Bethe Ansatz and the correlation functions of the Heisenberg magnet -- Dual algebras with non-linear Poisson brackets -- Sine-Gordon solitons vs. relativistic Calogero-Moser particles -- Integrable three dimensional models in wholly discrete space-time -- Elliptic beta integrals and special functions of hypergeometric type -- The 8-vertex model with a special value of the crossing parameter and the related XYZ spin chain -- Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions -- List of the Workshop Participants 
653 |a Quantum field theory 
653 |a Elementary particles (Physics) 
653 |a Nonassociative rings 
653 |a Elementary Particles, Quantum Field Theory 
653 |a Applications of Mathematics 
653 |a Non-associative Rings and Algebras 
653 |a Mathematics 
700 1 |a von Gehlen, G.  |e [editor] 
041 0 7 |a eng  |2 ISO 639-2 
989 |b SBA  |a Springer Book Archives -2004 
490 0 |a NATO Science Series II: Mathematics, Physics and Chemistry, Mathematics, Physics and Chemistry 
028 5 0 |a 10.1007/978-94-010-0670-5 
856 4 0 |u https://doi.org/10.1007/978-94-010-0670-5?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 530.14 
520 |a Integrable quantum field theories and integrable lattice models have been studied for several decades, but during the last few years new ideas have emerged that have considerably changed the topic. The first group of papers published here is concerned with integrable structures of quantum lattice models related to quantum group symmetries. The second group deals with the description of integrable structures in two-dimensional quantum field theories, especially boundary problems, thermodynamic Bethe ansatz and form factor problems. 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