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arXiv:2108.13336 (math-ph)
[Submitted on 30 Aug 2021 (v1), last revised 6 Feb 2022 (this version, v4)]

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

Authors:Romeo Brunetti, Michael Dütsch, Klaus Fredenhagen, Kasia Rejzner
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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.
Comments: 51 pages
Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)
Cite as: arXiv:2108.13336 [math-ph]
  (or arXiv:2108.13336v4 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.2108.13336

Submission history

From: Kasia Rejzner [view email]
[v1] Mon, 30 Aug 2021 16:02:14 UTC (61 KB)
[v2] Thu, 14 Oct 2021 21:13:01 UTC (90 KB)
[v3] Wed, 2 Feb 2022 20:34:20 UTC (90 KB)
[v4] Sun, 6 Feb 2022 22:53:01 UTC (95 KB)
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