Field theory on fractal spacetimes

Description
We discuss how to construct field theories on spacetime geometries with fractal properties. Based on fractional calculus, we introduce continuous spacetimes whose dimension changes with the scale, and that display discrete symmetries in the ultraviolet and ordinary Poincare' symmetries in the infrared. These theories are generally argued to be power-counting renormalizable under certain assumptions.
Organised by Andrea Rapisarda