Particle models and noncommutative geometry

Particle and Field Symmetries and Noncommutative Geometry

X iv :q ua nt -p h/ 03 05 15 0v 1 2 4 M ay 2 00 3 Particle and Field Symmetries and Noncommutative Geometry Ajay Patwardhan Physics Department, St.Xavier’s College, Mahapalika Marg, Mumbai 400001, India. * e-mail : [email protected] Abstract The development of Noncommutative geometry is creating a reworking and new possibilities in physics. This paper identifies some of the commutation and d...

Early Universe Models from Noncommutative Geometry

We investigate cosmological predictions on the early universe based on the noncommutative geometry models of gravity coupled to matter. Using the renormalization group analysis for the Standard Model with right handed neutrinos and Majorana mass terms, which is the particle physics content of the most recent noncommutative geometry models, we analyze the behavior of the coefficients of the grav...

Building Cosmological Models via Noncommutative Geometry

This is an overview of new and ongoing research developments aimed at constructing cosmological models based on noncommutative geometry, via the spectral action functional, thought of as a modified gravity action, which includes the coupling with matter when computed on an almost commutative geometry. This survey is mostly based on recent results obtained in collaboration with Elena Pierpaoli a...

Noncommutative geometry

Noncommutative Geometry and Quantization

The purpose of these lectures is to survey several aspects of noncommutative geometry, with emphasis on its applicability to particle physics and quantum field theory. By now, it is a commonplace statement that spacetime at short length —or high energy— scales is not the Cartesian continuum of macroscopic experience, and that older methods of working with functions on manifolds must be rethough...