Integrable discretizations of chiral models via deformation of the differential calculus

Journal of Physics A: Mathematical and General

Volumn 29, Issue 16, 1996, Pages 5007-5018

  Dimakis, Aristophanes ^a   Müller Hoissen, Folkert ^a  

^a Institut fur Theoretische Physik   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000783509     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/29/16/022     Document Type: Article

References (11)

1. Dimakis A, Müller-Hoissen F and Striker T 1993 From continuum to lattice theory via deformation of the differential calculus Phys. Lett. 300B 141;
2. 1993 Noncommutative differential calculus and lattice gauge theory J. Phys. A: Math. Gen. 26 1927
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4. Perelomov A M 1987 Chiral models: geometrical aspects Phys. Rep. 146 135
5. Brezin E, Itzykson C, Zinn-Justin J and Zuber J-B 1979 Remarks about the existence of nonlocal charges in two-dimensional models Phys. Lett. 82B 442
6. Toda M 1989 Theory of Nonlinear Lattices (Berlin: Springer)
7. Suris Yu B 1990 Discrete time generalized Toda lattices: complete integrability and relation with relativistic Toda lattices Phys. Lett. 145A 113
8. Faddeev L D and Takhtajan L A 1987 Hamiltonian Methods in the Theory of Solitons (Berlin: Springer)
9. Lüscher M and Pohlmeyer K 1978 Scattering of massless lumps and non-local charges in the two-dimensional classical non-linear σ-model Nucl. Phys. B 137 46
10. Ogielski A T, Prasad M K and Sinha A 1980 Bäcklund transformations and local conservation laws for principal chiral fields Phys. Lett. 91B 387
11. Baehr H C, Dimakis A and Müller-Hoissen F 1995 Differential calculi on commutative algebras J. Phys. A: Math. Gen. 28 3197