Speaker
Description
We propose a programme towards the understanding of confinement in QCD by means of the development of a geometrical version of the renormalization group flow for the Standard Model of Particle Physics. This is based on a stochastic version of the Ricci flow, which encodes both changes of topology and topological braiding. The proposed formalism enables the rescaling of fixed topologies through conformal transformations, while complementing the renormalization group flow in interacting contexts. The complementary stochastic quantization method a la Ricci that is proposed can be applied to the Wilsonian formulation of Yang-Mills theories, considering their background interaction with the gravitational field that affects the electric and magnetic Yang-Mills configurations, and re-interpreting matter interaction in terms of geometric quantities. We finally discuss how to apply this framework in order to provide a proposal for QCD confinement.
