The Unitary Master Ward Identity: Time Slice Axiom, Noether’s Theorem and Anomalies

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...

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Bibliographic Details
Published inAnnales Henri Poincaré Vol. 24; no. 2; pp. 469 - 539
Main Authors Brunetti, Romeo, Dütsch, Michael, Fredenhagen, Klaus, Rejzner, Kasia
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.02.2023
Springer Nature B.V
Subjects
Anomalies
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Mathematical and Computational Physics
Mathematical Methods in Physics
Original Paper
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Quantum theory
Relativity Theory
Theorems
Theoretical
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Summary: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.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-022-01218-5