English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We analyse the origin of the Adler anomaly of chiral U(1) gauge theory withinthe framework of regularized path integrals. Momentum or position spaceregulators allow for mathematically well-defined path integrals but violatelocal gauge symmetry. It is known how (nonanomalous) gauge symmetry can berecovered in the renormalized theory in this case [1]. Here we analyse U(1)chiral gauge theory to show how the appearance of anomalies manifests itself insuch a context. We show that the three-photon amplitude leads to a violation ofthe Slavnov-Taylor-Identities which cannot be restored on taking the UV limitin the renormalized theory. We point out that this fact is related to thenonanalyticity of this amplitude in the infrared region.

Regularized path integrals and anomalies -- U(1) chiral gauge theory