Axial anomaly in the presence of arbitrary spinor interactions

Axial anomaly in the presence of arbitrary spinor interactions

We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regu...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Hauptverfasser: Dereziński, Jan, Latosiński, Adam
Format: Artikel
Sprache:eng
Schlagworte:
Physics - High Energy Physics - Theory
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page
container_issue
container_start_page
container_title
container_volume
creator Dereziński, Jan
Latosiński, Adam
description We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regularize the fields, we find the conditions that guarantee the finiteness of the anomaly. We also find this anomaly. Our result generalizes the well-known computation of axial anomaly of Dirac fermions interacting with an external Yang-Mills field.
doi_str_mv 10.48550/arxiv.2411.19592
format Article
fullrecord <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2411_19592</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2411_19592</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2411_195923</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE01DO0NLU04mSwc6zITMxRSMzLz03MqVTIzFMoyUhVKChKLU7NS05VyE9TSCxKyiwpSiyqVCguyMzLLwKqKUktSkwuyczPK-ZhYE1LzClO5YXS3Azybq4hzh66YJviC4oyc4E640E2xoNtNCasAgCg2DZ4</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Axial anomaly in the presence of arbitrary spinor interactions</title><source>arXiv.org</source><creator>Dereziński, Jan ; Latosiński, Adam</creator><creatorcontrib>Dereziński, Jan ; Latosiński, Adam</creatorcontrib><description>We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regularize the fields, we find the conditions that guarantee the finiteness of the anomaly. We also find this anomaly. Our result generalizes the well-known computation of axial anomaly of Dirac fermions interacting with an external Yang-Mills field.</description><identifier>DOI: 10.48550/arxiv.2411.19592</identifier><language>eng</language><subject>Physics - High Energy Physics - Theory</subject><creationdate>2024-11</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2411.19592$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2411.19592$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dereziński, Jan</creatorcontrib><creatorcontrib>Latosiński, Adam</creatorcontrib><title>Axial anomaly in the presence of arbitrary spinor interactions</title><description>We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regularize the fields, we find the conditions that guarantee the finiteness of the anomaly. We also find this anomaly. Our result generalizes the well-known computation of axial anomaly of Dirac fermions interacting with an external Yang-Mills field.</description><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE01DO0NLU04mSwc6zITMxRSMzLz03MqVTIzFMoyUhVKChKLU7NS05VyE9TSCxKyiwpSiyqVCguyMzLLwKqKUktSkwuyczPK-ZhYE1LzClO5YXS3Azybq4hzh66YJviC4oyc4E640E2xoNtNCasAgCg2DZ4</recordid><startdate>20241129</startdate><enddate>20241129</enddate><creator>Dereziński, Jan</creator><creator>Latosiński, Adam</creator><scope>GOX</scope></search><sort><creationdate>20241129</creationdate><title>Axial anomaly in the presence of arbitrary spinor interactions</title><author>Dereziński, Jan ; Latosiński, Adam</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2411_195923</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Dereziński, Jan</creatorcontrib><creatorcontrib>Latosiński, Adam</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Dereziński, Jan</au><au>Latosiński, Adam</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Axial anomaly in the presence of arbitrary spinor interactions</atitle><date>2024-11-29</date><risdate>2024</risdate><abstract>We consider N Dirac fermions on a 4-dimensional Euclidean space with a quadratic interaction given by arbitrary external Clifford-valued fields. The divergence of the axial current satisfies on the classical level a relation that is violated after quantization. Using the Pauli-Villars method to regularize the fields, we find the conditions that guarantee the finiteness of the anomaly. We also find this anomaly. Our result generalizes the well-known computation of axial anomaly of Dirac fermions interacting with an external Yang-Mills field.</abstract><doi>10.48550/arxiv.2411.19592</doi><oa>free_for_read</oa></addata></record>
fulltext fulltext_linktorsrc
identifier DOI: 10.48550/arxiv.2411.19592
ispartof
issn
language eng
recordid cdi_arxiv_primary_2411_19592
source arXiv.org
subjects Physics - High Energy Physics - Theory
title Axial anomaly in the presence of arbitrary spinor interactions
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-13T08%3A58%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Axial%20anomaly%20in%20the%20presence%20of%20arbitrary%20spinor%20interactions&rft.au=Derezi%C5%84ski,%20Jan&rft.date=2024-11-29&rft_id=info:doi/10.48550/arxiv.2411.19592&rft_dat=%3Carxiv_GOX%3E2411_19592%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true