Monopoles and Solitons in Fuzzy Physics
High Energy Physics - Theory
2009-10-31 v6 General Relativity and Quantum Cosmology
High Energy Physics - Lattice
Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.hep-th/9811169,
title = {Monopoles and Solitons in Fuzzy Physics},
author = {S. Baez and A. P. Balachandran and S. Vaidya and B. Ydri},
journal= {arXiv preprint arXiv:hep-th/9811169},
year = {2009}
}
Comments
17 pages, Latex. Uses amstex, amssymb.Spelling of the name of one Author corrected. To appear in Commun.Math.Phys