Journal ArticleDOI
Z(4) symmetric factorized s matrix in two space-time dimensions
TLDR
The factorizedS-matrix with internal symmetry Z4 is constructed in two space-time dimensions and the two-particle amplitudes are obtained by means of solving the factorization, unitarity and analyticity equations as mentioned in this paper.Abstract:
The factorizedS-matrix with internal symmetryZ4 is constructed in two space-time dimensions. The two-particle amplitudes are obtained by means of solving the factorization, unitarity and analyticity equations. The solution of factorization equations can be expressed in terms of elliptic functions. TheS-matrix contains the resonance poles naturally. The simple formal relation between the general factorizedS-matrices and the Baxter-type lattice transfer matrices is found. In the sense of this relation theZ4-symmetricS-matrix corresponds to the Baxter transfer matrix itself.read more
Citations
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Exact results in the theory of magnetic alloys
A. M. Tsvelick,Paul Wiegmann +1 more
TL;DR: In this paper, a detailed account of the Bethe-Ansatz technique for the s-d exchange (Kondo) model with arbitrary impurity spin, s-D model with anisotropic exchange, degenerate exchange model and for the canonical Anderson model is given.
Book ChapterDOI
Quantum spectral transform method. recent developments
Petr P. Kulish,E. K. Sklyanin +1 more
Journal ArticleDOI
On space of integrable quantum field theories
TL;DR: In this article, the integrability of 2D Integrable Quantum Field Theories (IQFTs) with finite ultraviolet cutoff was studied and the authors showed that for any such IQFT there are infinitely many integrable deformations generated by scalar local fields XsXs, which are in one-to-one correspondence with the local integrals of motion.
Journal ArticleDOI
New families of commuting transfer matrices in q state vertex models
TL;DR: In this paper, a new exactly solvable two-dimensional q -state vertex models are given which generalize the ( q = 2) eight-vertex model, using the method of commuting transfer matrices.
References
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Book
Table of Integrals, Series, and Products
TL;DR: Combinations involving trigonometric and hyperbolic functions and power 5 Indefinite Integrals of Special Functions 6 Definite Integral Integral Functions 7.Associated Legendre Functions 8 Special Functions 9 Hypergeometric Functions 10 Vector Field Theory 11 Algebraic Inequalities 12 Integral Inequality 13 Matrices and related results 14 Determinants 15 Norms 16 Ordinary differential equations 17 Fourier, Laplace, and Mellin Transforms 18 The z-transform
Journal ArticleDOI
Partition function of the eight vertex lattice model
TL;DR: In this paper, the partition function of the zero-field eight-vertices model on a square M by N lattice is calculated exactly in the limit of M, N large.