The unitary Master Ward Identity: Time slice axiom, Noether's Theorem and Anomalies

Understand

The C*-algebraic formulation of generic interacting quantum field theories, recently presented by Detlev Buchholz and one of the authors (KF), is enriched by a unitary version of the Master Ward Identity, which was postulated some time ago by Franz Marc Boas, Ferdinand Brennecke and two of us (MD,KF).

• It is shown that the corresponding axiom implies the validity of the time slice axiom.
• Moreover, it opens the way for a new approach to Noether's Theorem where it yields directly the unitaries implementing the symmetries.
• It also unravels interesting aspects of the role of anomalies in quantum field theory.