Gauss' Law and String-Localized Quantum Field Theory

Jens Mund, Karl-Henning Rehren, Bert Schroer
June 20, 2019
The quantum Gauss Law as an interacting field equation is a prominent feature of QED with eminent impact on its algebraic and superselection structure and the properties of its charged particles. Because it entails the possibility of "measurement of charges at a distance", it is well-known to be in conflict with locality of charged fields. We show how a new approach to QED that avoids indefinite metric and ghosts, can achieve Gauss' Law. We explain why this is not at variance with recent results by Buchholz et al.