Andrzej Sitarz

Spectral Action in Noncommutative Geometry (and how to apply it in physics)


Noncommutative Geometry suggests a simple description of the physical action in terms of the eigenvalues of the (generalized) Dirac operator. We shall briefly review the background and then show what happens when we go beyond commutative world. Turning back to a mild noncommutativity we shall discuss what the spectral action can tell about the fundamental interactions and neutrino masses.