Anomalies in quantum field theories

Introduction/purpose: Noether’s theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities. Methods: Triangle diagram, Path integral, Pauli-Villars regularisation. Results: Quantum effects that spoil conserved quantities of local gauge sy...

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Main Author: Nicola Fabiano
Format: Article
Language:English
Published: University of Defence in Belgrade 2023-01-01
Series:Vojnotehnički Glasnik
Subjects:
Online Access:https://scindeks.ceon.rs/article.aspx?artid=0042-84692301100F
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author Nicola Fabiano
author_facet Nicola Fabiano
author_sort Nicola Fabiano
collection DOAJ
description Introduction/purpose: Noether’s theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities. Methods: Triangle diagram, Path integral, Pauli-Villars regularisation. Results: Quantum effects that spoil conserved quantities of local gauge symmetries endager renormalisability. Conclusion: A careful treatment of anomalies is needed in order to obtain correct results. The π0 → γγ decay is perhaps the most notable “impossible” effect allowed by anomalies.
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spelling doaj.art-e4c216e55bd64664829ca179e1c135a42023-02-05T11:27:10ZengUniversity of Defence in BelgradeVojnotehnički Glasnik0042-84692217-47532023-01-0171110011210.5937/vojtehg71-38164Anomalies in quantum field theoriesNicola Fabiano0https://orcid.org/0000-0003-1645-2071University of Belgrade, “Vinča” Institute of Nuclear Sciences - National Institute of the Republic of Serbia, Belgrade, Republic of SerbiaIntroduction/purpose: Noether’s theorem connects symmetry of the Lagrangian to conserved quantities. Quantum effects cancel the conserved quantities. Methods: Triangle diagram, Path integral, Pauli-Villars regularisation. Results: Quantum effects that spoil conserved quantities of local gauge symmetries endager renormalisability. Conclusion: A careful treatment of anomalies is needed in order to obtain correct results. The π0 → γγ decay is perhaps the most notable “impossible” effect allowed by anomalies.https://scindeks.ceon.rs/article.aspx?artid=0042-84692301100Fsymmetryquantum anomalies
spellingShingle Nicola Fabiano
Anomalies in quantum field theories
Vojnotehnički Glasnik
symmetry
quantum anomalies
title Anomalies in quantum field theories
title_full Anomalies in quantum field theories
title_fullStr Anomalies in quantum field theories
title_full_unstemmed Anomalies in quantum field theories
title_short Anomalies in quantum field theories
title_sort anomalies in quantum field theories
topic symmetry
quantum anomalies
url https://scindeks.ceon.rs/article.aspx?artid=0042-84692301100F
work_keys_str_mv AT nicolafabiano anomaliesinquantumfieldtheories