Fine structure constant, anomalous magnetic factor and transport coefficients

The fine structure constant can be determined by the electron magnetic moment, the Hall conductivity or the optical conductivity of graphene. The precision of the measurements offers a very stringent test for the theory, in particular for the Standard Model. The magnetic factor is determined by the truncation of the (divergent) series expansion at a certain order, and the expectation is that the error introduced is of the order of truncation; in the case of the transport coefficients instead the higher orders contributions are expected to be exactly vanishing.  We present some rigorous results based on Renormalization Group proving the validity of such properties in a finite range of parameters, providing a introduction to the key technical features of the method.

Slides :

Robert Seiringer