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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Format: | Article |
Language: | English |
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University of Defence in Belgrade
2023-01-01
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Series: | Vojnotehnički Glasnik |
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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. |
first_indexed | 2024-04-10T17:22:07Z |
format | Article |
id | doaj.art-e4c216e55bd64664829ca179e1c135a4 |
institution | Directory Open Access Journal |
issn | 0042-8469 2217-4753 |
language | English |
last_indexed | 2024-04-10T17:22:07Z |
publishDate | 2023-01-01 |
publisher | University of Defence in Belgrade |
record_format | Article |
series | Vojnotehnički Glasnik |
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 |