000			02943 a2200265 4500
003			OSt
005			20240919145938.0
008			240801b |||||||| |||| 00| 0 eng d
020			_a9780521586467
040			_aICTS-TIFR
050			_aQC174.45 .K67
100			_aKorepin, V. E. (Vladimir E.)
245			_aQuantum inverse scattering method and correlation functions
260			_bCambridge University Press, _aCambridge, U.K.: _c[c1997]
300			_a576 p.
490			_aCambridge Monographs on Mathematical Physics
505			_aPreface. Part - I (The Coordinate Bethe Ansatz) 1. One-dimensional Bose-gas 2. One-dimensional Heisenberg magnet 3. Massive Thirring model 4. Hubbard model Part - II (The Quantum Inverse Scattering Method) 5. Classical r-matrix 6. Fundamentals of inverse scattering method 7. Algebraic Bethe ansatz 8. Quantum field theory integral models on a lattice Part - III (The Determinant Representation for Quantum Correlation functions) 9. Scalar products 10. Norms of bethe wave functions 11. Correlation functions of currents 12. Correlation functions of fields Part - 4 (Differential Equations for Quantum Correlation functions) 13. Correlation functions for impenetrable Bosons. The determinant representation 14. Differential equations for correlation functions 15. Matrix Riemann-Hilbert problem for correlation functions 16. Asymptotics of Temperature-dependent correlation functions for the impenetrable Bose Gas 17. Algebraic Bethe Ansatz and Asymptotics of correlation functions 18. Asymptotics of correlation functions and the conformal approach. Final Conclusion. References. Index.
520			_aThe quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics (such as the sine-Gordon equation or the quantum non-linear Schrödinger equation). These models are the subject of much attention amongst physicists and mathematicians. The present work is an introduction to this important and exciting area. It consists of four parts. The first deals with the Bethe ansatz and calculation of physical quantities. The authors then tackle the theory of the quantum inverse scattering method before applying it in the second half of the book to the calculation of correlation functions. This is one of the most important applications of the method and the authors have made significant contributions to the area. Here they describe some of the most recent and general approaches and include some new results. The book will be essential reading for all mathematical physicists working in field theory and statistical physics.--- Summary provided by the publisher
650			_aQuantum field theory.
650			_aInverse scattering transform.
650			_aCorrelation (Statistics)
700			_aBogoli︠u︡bov, N. M.
700			_aIzergin, A. G.
942			_2lcc _cBK
999			_c35098 _d35098