SOLITON DYNAMICS IN A NOVEL DISCRETE O(3) SIGMA-MODEL IN (2-DIMENSIONS(1))

Authors
IOANNIDOU T
Citation
T. Ioannidou, SOLITON DYNAMICS IN A NOVEL DISCRETE O(3) SIGMA-MODEL IN (2-DIMENSIONS(1)), Nonlinearity, 10(5), 1997, pp. 1357-1367
Citations number
14
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
10
Issue
5
Year of publication
1997
Pages
1357 - 1367
Database
ISI
SICI code
0951-7715(1997)10:5<1357:SDIAND>2.0.ZU;2-N
Abstract
The O(3) sigma model in two spatial dimensions admits topological (Bog omol'nyi) lower bound on its energy. This paper proposes a lattice ver sion of this system which maintains the Bogomol'nyi bound and allows t he explicit construction of static solitons on the lattice. Numerical simulations show that these lattice solitons are unstable under small perturbations; in fact, their size changes linearly with time.