Natural Anomaly Matching
In a large class of chiral gauge theories in four dimensions it was found that certain natural assumption about the bifermion condensates leads to the infrared effective theory where the 't Hooft anomaly matching conditions are satisfied in an entirely evident fashion, without need of verifying...
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| creator | Bolognesi, Stefano Konishi, Kenichi Luzio, Andrea Orso, Matteo |
| description | In a large class of chiral gauge theories in four dimensions it was found
that certain natural assumption about the bifermion condensates leads to the
infrared effective theory where the 't Hooft anomaly matching conditions are
satisfied in an entirely evident fashion, without need of verifying arithmetic
equations. This is due to the fact that in these systems, characterized by
dynamical color (and flavor) symmetry breaking, the quantum numbers and
multiplicities of the low-energy massless fermions match exactly those of the
fermions in the UV theory which do not condense and remain massless, with
respect to the unbroken symmetries. This means also that the stronger
constraints following from the matching request of mixed anomalies involving
certain generalized 1-form center symmetries, as well as some global anomalies
such as Witten's $SU(2)$ anomaly, are all fully satisfied. It is the aim of
this note to clarify better the working of this phenomenon (which we call
Natural Anomaly Matching), correct some earlier statements made about it, and
illustrate it further with a few new examples. |
| doi_str_mv | 10.48550/arxiv.2410.01315 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2410_01315</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2410_01315</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2410_013153</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMgEKGBgaG5pyMkj4JZaUFiXmKDjm5ecm5lQq-CaWJGdk5qXzMLCmJeYUp_JCaW4GeTfXEGcPXbAZ8QVFmbmJRZXxILPiwWYZE1YBAGRSJ5I</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Natural Anomaly Matching</title><source>arXiv.org</source><creator>Bolognesi, Stefano ; Konishi, Kenichi ; Luzio, Andrea ; Orso, Matteo</creator><creatorcontrib>Bolognesi, Stefano ; Konishi, Kenichi ; Luzio, Andrea ; Orso, Matteo</creatorcontrib><description>In a large class of chiral gauge theories in four dimensions it was found
that certain natural assumption about the bifermion condensates leads to the
infrared effective theory where the 't Hooft anomaly matching conditions are
satisfied in an entirely evident fashion, without need of verifying arithmetic
equations. This is due to the fact that in these systems, characterized by
dynamical color (and flavor) symmetry breaking, the quantum numbers and
multiplicities of the low-energy massless fermions match exactly those of the
fermions in the UV theory which do not condense and remain massless, with
respect to the unbroken symmetries. This means also that the stronger
constraints following from the matching request of mixed anomalies involving
certain generalized 1-form center symmetries, as well as some global anomalies
such as Witten's $SU(2)$ anomaly, are all fully satisfied. It is the aim of
this note to clarify better the working of this phenomenon (which we call
Natural Anomaly Matching), correct some earlier statements made about it, and
illustrate it further with a few new examples.</description><identifier>DOI: 10.48550/arxiv.2410.01315</identifier><language>eng</language><subject>Physics - High Energy Physics - Lattice ; Physics - High Energy Physics - Phenomenology ; Physics - High Energy Physics - Theory</subject><creationdate>2024-10</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/2410.01315$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2410.01315$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Bolognesi, Stefano</creatorcontrib><creatorcontrib>Konishi, Kenichi</creatorcontrib><creatorcontrib>Luzio, Andrea</creatorcontrib><creatorcontrib>Orso, Matteo</creatorcontrib><title>Natural Anomaly Matching</title><description>In a large class of chiral gauge theories in four dimensions it was found
that certain natural assumption about the bifermion condensates leads to the
infrared effective theory where the 't Hooft anomaly matching conditions are
satisfied in an entirely evident fashion, without need of verifying arithmetic
equations. This is due to the fact that in these systems, characterized by
dynamical color (and flavor) symmetry breaking, the quantum numbers and
multiplicities of the low-energy massless fermions match exactly those of the
fermions in the UV theory which do not condense and remain massless, with
respect to the unbroken symmetries. This means also that the stronger
constraints following from the matching request of mixed anomalies involving
certain generalized 1-form center symmetries, as well as some global anomalies
such as Witten's $SU(2)$ anomaly, are all fully satisfied. It is the aim of
this note to clarify better the working of this phenomenon (which we call
Natural Anomaly Matching), correct some earlier statements made about it, and
illustrate it further with a few new examples.</description><subject>Physics - High Energy Physics - Lattice</subject><subject>Physics - High Energy Physics - Phenomenology</subject><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMgEKGBgaG5pyMkj4JZaUFiXmKDjm5ecm5lQq-CaWJGdk5qXzMLCmJeYUp_JCaW4GeTfXEGcPXbAZ8QVFmbmJRZXxILPiwWYZE1YBAGRSJ5I</recordid><startdate>20241002</startdate><enddate>20241002</enddate><creator>Bolognesi, Stefano</creator><creator>Konishi, Kenichi</creator><creator>Luzio, Andrea</creator><creator>Orso, Matteo</creator><scope>GOX</scope></search><sort><creationdate>20241002</creationdate><title>Natural Anomaly Matching</title><author>Bolognesi, Stefano ; Konishi, Kenichi ; Luzio, Andrea ; Orso, Matteo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2410_013153</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Physics - High Energy Physics - Lattice</topic><topic>Physics - High Energy Physics - Phenomenology</topic><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Bolognesi, Stefano</creatorcontrib><creatorcontrib>Konishi, Kenichi</creatorcontrib><creatorcontrib>Luzio, Andrea</creatorcontrib><creatorcontrib>Orso, Matteo</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Bolognesi, Stefano</au><au>Konishi, Kenichi</au><au>Luzio, Andrea</au><au>Orso, Matteo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Natural Anomaly Matching</atitle><date>2024-10-02</date><risdate>2024</risdate><abstract>In a large class of chiral gauge theories in four dimensions it was found
that certain natural assumption about the bifermion condensates leads to the
infrared effective theory where the 't Hooft anomaly matching conditions are
satisfied in an entirely evident fashion, without need of verifying arithmetic
equations. This is due to the fact that in these systems, characterized by
dynamical color (and flavor) symmetry breaking, the quantum numbers and
multiplicities of the low-energy massless fermions match exactly those of the
fermions in the UV theory which do not condense and remain massless, with
respect to the unbroken symmetries. This means also that the stronger
constraints following from the matching request of mixed anomalies involving
certain generalized 1-form center symmetries, as well as some global anomalies
such as Witten's $SU(2)$ anomaly, are all fully satisfied. It is the aim of
this note to clarify better the working of this phenomenon (which we call
Natural Anomaly Matching), correct some earlier statements made about it, and
illustrate it further with a few new examples.</abstract><doi>10.48550/arxiv.2410.01315</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Physics - High Energy Physics - Lattice Physics - High Energy Physics - Phenomenology Physics - High Energy Physics - Theory |
| title | Natural Anomaly Matching |
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