CONSTRAINTS ON UNIFIED GAUGE-THEORIES FROM NONCOMMUTATIVE GEOMETRY

Citation
F. Lizzi et al., CONSTRAINTS ON UNIFIED GAUGE-THEORIES FROM NONCOMMUTATIVE GEOMETRY, Modern physics letters A, 11(32-33), 1996, pp. 2561-2572
Citations number
24
Categorie Soggetti
Physics, Nuclear","Physics, Particles & Fields","Physycs, Mathematical
Journal title
ISSN journal
02177323
Volume
11
Issue
32-33
Year of publication
1996
Pages
2561 - 2572
Database
ISI
SICI code
0217-7323(1996)11:32-33<2561:COUGFN>2.0.ZU;2-C
Abstract
We analyze the possibility to extend the Connes and Lott reformulation of the standard model to larger unified gauge groups. Noncommutative geometry imposes very stringent constraints on the possible theories, and remarkably, the analysis seems to suggest that no larger gauge gro ups are compatible with the nor commutative structure, unless one enla rges the fermionic degrees of freedom, namely the number of particles.