Duality between the Maxwell-Chern-Simons and self-dual models in very special relativity
This work aims to investigate the classical-level duality between the $SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart. Initially, our focus is on free-field cases to establish equivalence through two distinct approaches: comparing the equations of motion and utilizing the mas...
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| 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 | Belchior, Fernando M Maluf, Roberto V |
| description | This work aims to investigate the classical-level duality between the
$SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart.
Initially, our focus is on free-field cases to establish equivalence through
two distinct approaches: comparing the equations of motion and utilizing the
master Lagrangian method. In both instances, the classical correspondence
between the self-dual field and the MCS dual field undergoes modifications due
to very special relativity (VSR). Specifically, duality is established only
when the associated VSR-mass parameters are the same. Furthermore, we analyze
the duality when the self-dual model is minimally coupled to fermions. As a
result, we show that Thirring-like interactions, corrected for non-local VSR
contributions, are included in the MCS model. Additionally, we demonstrate the
equivalence of the fermion sectors in both models, thereby concluding the proof
of classical-level duality. |
| doi_str_mv | 10.48550/arxiv.2312.00179 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2312_00179</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2312_00179</sourcerecordid><originalsourceid>FETCH-LOGICAL-a679-fc009b474f09fdefed099f5bc628f438eee32f24fdcb7e37ae0994744141bdf93</originalsourceid><addsrcrecordid>eNotj7tOwzAUhr0woMIDMOEXcHBsp45HFK5SKwY6sEVOfI5qyXErJ6TN22MK0y_9N-kj5K7khaqrij_YdPZzIWQpCs5Lba7J19O3DX5aaAfTCSDSaQ90a88nCIE1e0iRffrhEEdqo6MjBGQuL-hwcBBG6iOdIS10PELvs50g2MnP-fCGXKENI9z-64rsXp53zRvbfLy-N48bZtfaMOw5N53SCrlBBwiOG4NV169FjUrWACAFCoWu7zRIbSHnua5KVXYOjVyR-7_bC1p7TH6waWl_EdsLovwBa_BNmQ</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Duality between the Maxwell-Chern-Simons and self-dual models in very special relativity</title><source>arXiv.org</source><creator>Belchior, Fernando M ; Maluf, Roberto V</creator><creatorcontrib>Belchior, Fernando M ; Maluf, Roberto V</creatorcontrib><description>This work aims to investigate the classical-level duality between the
$SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart.
Initially, our focus is on free-field cases to establish equivalence through
two distinct approaches: comparing the equations of motion and utilizing the
master Lagrangian method. In both instances, the classical correspondence
between the self-dual field and the MCS dual field undergoes modifications due
to very special relativity (VSR). Specifically, duality is established only
when the associated VSR-mass parameters are the same. Furthermore, we analyze
the duality when the self-dual model is minimally coupled to fermions. As a
result, we show that Thirring-like interactions, corrected for non-local VSR
contributions, are included in the MCS model. Additionally, we demonstrate the
equivalence of the fermion sectors in both models, thereby concluding the proof
of classical-level duality.</description><identifier>DOI: 10.48550/arxiv.2312.00179</identifier><language>eng</language><subject>Physics - High Energy Physics - Theory</subject><creationdate>2023-11</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/2312.00179$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2312.00179$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Belchior, Fernando M</creatorcontrib><creatorcontrib>Maluf, Roberto V</creatorcontrib><title>Duality between the Maxwell-Chern-Simons and self-dual models in very special relativity</title><description>This work aims to investigate the classical-level duality between the
$SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart.
Initially, our focus is on free-field cases to establish equivalence through
two distinct approaches: comparing the equations of motion and utilizing the
master Lagrangian method. In both instances, the classical correspondence
between the self-dual field and the MCS dual field undergoes modifications due
to very special relativity (VSR). Specifically, duality is established only
when the associated VSR-mass parameters are the same. Furthermore, we analyze
the duality when the self-dual model is minimally coupled to fermions. As a
result, we show that Thirring-like interactions, corrected for non-local VSR
contributions, are included in the MCS model. Additionally, we demonstrate the
equivalence of the fermion sectors in both models, thereby concluding the proof
of classical-level duality.</description><subject>Physics - High Energy Physics - Theory</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj7tOwzAUhr0woMIDMOEXcHBsp45HFK5SKwY6sEVOfI5qyXErJ6TN22MK0y_9N-kj5K7khaqrij_YdPZzIWQpCs5Lba7J19O3DX5aaAfTCSDSaQ90a88nCIE1e0iRffrhEEdqo6MjBGQuL-hwcBBG6iOdIS10PELvs50g2MnP-fCGXKENI9z-64rsXp53zRvbfLy-N48bZtfaMOw5N53SCrlBBwiOG4NV169FjUrWACAFCoWu7zRIbSHnua5KVXYOjVyR-7_bC1p7TH6waWl_EdsLovwBa_BNmQ</recordid><startdate>20231130</startdate><enddate>20231130</enddate><creator>Belchior, Fernando M</creator><creator>Maluf, Roberto V</creator><scope>GOX</scope></search><sort><creationdate>20231130</creationdate><title>Duality between the Maxwell-Chern-Simons and self-dual models in very special relativity</title><author>Belchior, Fernando M ; Maluf, Roberto V</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a679-fc009b474f09fdefed099f5bc628f438eee32f24fdcb7e37ae0994744141bdf93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Physics - High Energy Physics - Theory</topic><toplevel>online_resources</toplevel><creatorcontrib>Belchior, Fernando M</creatorcontrib><creatorcontrib>Maluf, Roberto V</creatorcontrib><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Belchior, Fernando M</au><au>Maluf, Roberto V</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Duality between the Maxwell-Chern-Simons and self-dual models in very special relativity</atitle><date>2023-11-30</date><risdate>2023</risdate><abstract>This work aims to investigate the classical-level duality between the
$SIM(1)$-Maxwell-Chern-Simons (MCS) model and its self-dual counterpart.
Initially, our focus is on free-field cases to establish equivalence through
two distinct approaches: comparing the equations of motion and utilizing the
master Lagrangian method. In both instances, the classical correspondence
between the self-dual field and the MCS dual field undergoes modifications due
to very special relativity (VSR). Specifically, duality is established only
when the associated VSR-mass parameters are the same. Furthermore, we analyze
the duality when the self-dual model is minimally coupled to fermions. As a
result, we show that Thirring-like interactions, corrected for non-local VSR
contributions, are included in the MCS model. Additionally, we demonstrate the
equivalence of the fermion sectors in both models, thereby concluding the proof
of classical-level duality.</abstract><doi>10.48550/arxiv.2312.00179</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2312.00179 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2312_00179 |
| source | arXiv.org |
| subjects | Physics - High Energy Physics - Theory |
| title | Duality between the Maxwell-Chern-Simons and self-dual models in very special relativity |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-15T19%3A41%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=Duality%20between%20the%20Maxwell-Chern-Simons%20and%20self-dual%20models%20in%20very%20special%20relativity&rft.au=Belchior,%20Fernando%20M&rft.date=2023-11-30&rft_id=info:doi/10.48550/arxiv.2312.00179&rft_dat=%3Carxiv_GOX%3E2312_00179%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 |