QUANTUM DEFORMED POINCARE ALGEBRA ON A 2-DIMENSIONAL LATTICE

Authors
GOMEZ C RUEGG H ZAUGG P
Citation
C. Gomez et al., QUANTUM DEFORMED POINCARE ALGEBRA ON A 2-DIMENSIONAL LATTICE, Journal of physics. A, mathematical and general, 27(23), 1994, pp. 7805-7810
Citations number
11
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
27
Issue
23
Year of publication
1994
Pages
7805 - 7810
Database
ISI
SICI code
0305-4470(1994)27:23<7805:QDPAOA>2.0.ZU;2-H
Abstract
We propose a definition of a Poincare algebra for a two-dimensional sp acetime with one discretized dimension. This algebra has the structure of a Hopf algebra. We use the link between Onsager's uniformization o f the Ising model and the dispersion relation of a free particle in th is spacetime, together with the rapidity representation of the quantum deformation of the Poincare enveloping algebra.