We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to noncommutative spaces. We then give a brief description of Connes approach to the standard model, of the noncommutative geometry of strings and of field theory on noncommutative spaces. We also discuss the role of symmetries and some possible consequences for cosmology.
The Structure of Spacetime and Noncommutative Geometry / Lizzi, Fedele. - STAMPA. - (2009), pp. 50-80. (Intervento presentato al convegno Geometry, Topology, QFT and Cosmology tenutosi a Paris, France nel 28-30 Maggio 2008).
The Structure of Spacetime and Noncommutative Geometry
LIZZI, FEDELE
2009
Abstract
We give a general and nontechnical review of some aspects of noncommutative geometry as a tool to understand the structure of spacetime. We discuss the motivations for the constructions of a noncommutative geometry, and the passage from commutative to noncommutative spaces. We then give a brief description of Connes approach to the standard model, of the noncommutative geometry of strings and of field theory on noncommutative spaces. We also discuss the role of symmetries and some possible consequences for cosmology.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
