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

Romeo Brunetti; Michael Duetsch; Klaus Fredenhagen; Kasia Rejzner

doi:10.1007/s00023-022-01218-5

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

Romeo Brunetti, Michael Duetsch, Klaus Fredenhagen, Kasia Rejzner

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	469–539
Number of pages	71
Journal	Annales Henri Poincare
Volume	24
Early online date	11 Aug 2022
DOIs	https://doi.org/10.1007/s00023-022-01218-5
Publication status	Published - 1 Feb 2023

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10.1007/s00023-022-01218-5Licence: CC BY

The Unitary Master Ward Identity: Time Slice Axiom, Noether’s Theorem and Anomalies
© 2022 The Author(s)
Final published version, 1.2 MBLicence: CC BY

Cite this

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