We argue that some features of the standard model, in particular the fermion assignment and symmetry breaking, can be obtained in matrix model which describes noncommutative gauge theory as well as gravity in an emergent way. The mechanism is based on the presence of some extra (matrix) dimensions. These extra dimensions are different from the usual ones which give to a noncommutative geometry of the Grönewold-Moyal type, and are reminiscent of the Connes-Lott model, although the action is very different.
Gauge symmetry breaking in matrix models / H., Grosse; Lizzi, Fedele; H., Steinacker. - In: GENERAL RELATIVITY AND GRAVITATION. - ISSN 0001-7701. - 43:9(2011), pp. 2531-2539. [10.1007/s10714-010-0992-6]
Gauge symmetry breaking in matrix models
LIZZI, FEDELE;
2011
Abstract
We argue that some features of the standard model, in particular the fermion assignment and symmetry breaking, can be obtained in matrix model which describes noncommutative gauge theory as well as gravity in an emergent way. The mechanism is based on the presence of some extra (matrix) dimensions. These extra dimensions are different from the usual ones which give to a noncommutative geometry of the Grönewold-Moyal type, and are reminiscent of the Connes-Lott model, although the action is very different.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.