Monopoles and solitons have important topological aspects like quantized
fluxes, winding numbers and curved target spaces. Naive discretizations which
substitute a lattice of points for the underlying manifolds are incapable of
retaining these features in a precise way. We study these problems of discrete
physics and matrix models and discuss mathematically coherent discretizations
of monopoles and solitons using fuzzy physics and noncommutative geometry. A
fuzzy sigma-model action for the two-sphere fulfilling a fuzzy Belavin-Polyakov
bound is also put forth.
Publié le : 1998-11-18
Classification:
High Energy Physics - Theory,
General Relativity and Quantum Cosmology,
High Energy Physics - Lattice,
Mathematical Physics,
Mathematics - Quantum Algebra
@article{9811169,
author = {Baez, S. and Balachandran, A. P. and Vaidya, S. and Ydri, B.},
title = {Monopoles and Solitons in Fuzzy Physics},
journal = {arXiv},
volume = {1998},
number = {0},
year = {1998},
language = {en},
url = {http://dml.mathdoc.fr/item/9811169}
}
Baez, S.; Balachandran, A. P.; Vaidya, S.; Ydri, B. Monopoles and Solitons in Fuzzy Physics. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9811169/