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.
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