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  Gauge Symmetries and Renormalization

Prinz, D. (in preparation). Gauge Symmetries and Renormalization.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0005-918C-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0005-918F-6
Genre: Paper

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2001.00104.pdf (Preprint), 367KB
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 Creators:
Prinz, David1, Author              
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematical Physics, math-ph,High Energy Physics - Theory, hep-th,Mathematics, Mathematical Physics, math.MP,
 Abstract: The preservation of gauge symmetries to the quantum level induces symmetries between renormalized Green's functions. These symmetries are known by the names of Ward-Takahashi and Slavnov-Taylor identities. On a perturbative level, these symmetries can be implemented as Hopf ideals in the Connes-Kreimer renormalization Hopf algebra. In this article, we generalize the existing literature to the most general case by first motivating these symmetries on a generic level and then proving that they indeed generate Hopf ideals, where we also include the more involved cases of super- and non-renormalizable local QFTs. Finally, we provide a criterion for their validity on the level of renormalized Feynman rules.

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 Dates: 2019-12-31
 Publication Status: Not specified
 Pages: 29 pages, 3 figues, article
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 2001.00104
URI: http://arxiv.org/abs/2001.00104
 Degree: -

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