Monopoles and Solitons in Fuzzy Physics
Baez, S. ; Balachandran, A. P. ; Vaidya, S. ; Ydri, B.
arXiv, 9811169 / Harvested from arXiv
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/