Noncommutative geometry and fundamental physical interactions: The Lagrangian level-Historical sketch and description of the present situation

Authors
Kastler, D
Citation
D. Kastler, Noncommutative geometry and fundamental physical interactions: The Lagrangian level-Historical sketch and description of the present situation, J MATH PHYS, 41(6), 2000, pp. 3867-3891
Citations number
73
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
41
Issue
6
Year of publication
2000
Pages
3867 - 3891
Database
ISI
SICI code
0022-2488(200006)41:6<3867:NGAFPI>2.0.ZU;2-L
Abstract
These notes comprise (i) a descriptive account of the history of the subjec t showing how physics and mathematics interwove to develop a mathematical c oncept of quantum manifold relevant to elementary particle theory; (ii) a d etailed technical description, from scratch, of the spectral action formali sm and computation. (C) 2000 American Institute of Physics. [S0022-2488(00) 01806-5].