Applications of local gauge covariance: Anomalies and QED in external potentials

DPG Spring Conference
Jochen Zahn on March 19, 2015

The framework of locally covariant field theory proved extremely fruitful for QFT on curved space-times. It can be straightforwardly generalized to more general non trivial background fields, in particular gauge connections. I will present two applications of this framework. The first is an elementary computation of the chiral anomalies, directly on Lorentzian space-times. The second is QED in external potentials, where I compare the locally covariant definition of the current to other definitions and consider it in concrete cases.

Related papers:
Locally covariant chiral fermions and anomalies
The current density in quantum electrodynamics in external potentials
The current density in quantum electrodynamics in time-dependent external potentials and the Schwinger effect