Spectral interactions between strings in the Higgs background

2023
journal article
review article
dc.abstract.enWe derive the exact form of the spectral interaction of two strings mediated by a constant scalar field using methods derived from noncommutative geometry. This is achieved by considering a non-product modification of the Connes–Lott model with two-dimensional manifolds. The analogy with the latter construction justifies the interpretation of the scalar field as being of Higgs type. Working in dimension two requires the use of the spectral zeta function instead of the Wodzicki residue techniques applicable to four-dimensional models. In the latter case, an analogous non-product geometry construction leads, for specific choices of metrics, to the so-called "doubled geometry models", which can be thought of as a spectral modification of the Hassan–Rosen bimetric theory. We find that in dimension two, the interaction term depends explicitly on zweibeins defining the Dirac operators and only in some special cases can they be expressed solely using the metrics. The computations can be performed analytically for an arbitrary choice of zweibeins defining geometry on the two strings.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznejpl
dc.contributor.authorBochniak, Arkadiusz - 233886 pl
dc.contributor.authorSitarz, Andrzej - 100147 pl
dc.date.accession2024-02-29pl
dc.date.accessioned2024-03-04T11:28:11Z
dc.date.available2024-03-04T11:28:11Z
dc.date.issued2023pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number23pl
dc.description.physical3589-3596pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume232pl
dc.identifier.doi10.1140/epjs/s11734-023-00832-6pl
dc.identifier.eissn1951-6401pl
dc.identifier.issn1951-6355pl
dc.identifier.project2020/37/B/ST1/01540pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/327621
dc.identifier.weblinkhttps://link.springer.com/content/pdf/10.1140/epjs/s11734-023-00832-6.pdfpl
dc.languageengpl
dc.language.containerengpl
dc.pbn.affiliationDziedzina nauk ścisłych i przyrodniczych : nauki fizycznepl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subtypeReviewArticlepl
dc.titleSpectral interactions between strings in the Higgs backgroundpl
dc.title.journalThe European Physical Journal Special Topicspl
dc.typeJournalArticlepl
dspace.entity.typePublication
dc.abstract.enpl
We derive the exact form of the spectral interaction of two strings mediated by a constant scalar field using methods derived from noncommutative geometry. This is achieved by considering a non-product modification of the Connes–Lott model with two-dimensional manifolds. The analogy with the latter construction justifies the interpretation of the scalar field as being of Higgs type. Working in dimension two requires the use of the spectral zeta function instead of the Wodzicki residue techniques applicable to four-dimensional models. In the latter case, an analogous non-product geometry construction leads, for specific choices of metrics, to the so-called "doubled geometry models", which can be thought of as a spectral modification of the Hassan–Rosen bimetric theory. We find that in dimension two, the interaction term depends explicitly on zweibeins defining the Dirac operators and only in some special cases can they be expressed solely using the metrics. The computations can be performed analytically for an arbitrary choice of zweibeins defining geometry on the two strings.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej
dc.contributor.authorpl
Bochniak, Arkadiusz - 233886
dc.contributor.authorpl
Sitarz, Andrzej - 100147
dc.date.accessionpl
2024-02-29
dc.date.accessioned
2024-03-04T11:28:11Z
dc.date.available
2024-03-04T11:28:11Z
dc.date.issuedpl
2023
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
23
dc.description.physicalpl
3589-3596
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
232
dc.identifier.doipl
10.1140/epjs/s11734-023-00832-6
dc.identifier.eissnpl
1951-6401
dc.identifier.issnpl
1951-6355
dc.identifier.projectpl
2020/37/B/ST1/01540
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/327621
dc.identifier.weblinkpl
https://link.springer.com/content/pdf/10.1140/epjs/s11734-023-00832-6.pdf
dc.languagepl
eng
dc.language.containerpl
eng
dc.pbn.affiliationpl
Dziedzina nauk ścisłych i przyrodniczych : nauki fizyczne
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subtypepl
ReviewArticle
dc.titlepl
Spectral interactions between strings in the Higgs background
dc.title.journalpl
The European Physical Journal Special Topics
dc.typepl
JournalArticle
dspace.entity.type
Publication

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