Gauge theories on quantum spaces.
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| Title: | Gauge theories on quantum spaces. |
|---|---|
| Authors: | Hersent, Kilian1 (AUTHOR) kilian.hersent@universite-paris-saclay.fr, Mathieu, Philippe2 (AUTHOR) philippe.mathieu@math.uzh.ch, Wallet, Jean-Christophe1 (AUTHOR) jean-christophe.wallet@universite-paris-saclay.fr |
| Source: | Physics Reports. May2023, Vol. 1014, p1-83. 83p. |
| Subjects: | Quantum theory, Gauge field theory, Quantum wells, Lie algebras, Noncommutative differential geometry, Model theory |
| Abstract: | We review the present status of gauge theories built on various quantum space–times described by noncommutative space–times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on Moyal spaces as well as on quantum spaces whose coordinates form a Lie algebra are covered, with particular emphasis on some explored quantum properties. Recent attempts aiming to include gravity dynamics within a noncommutative framework are also considered. [ABSTRACT FROM AUTHOR] |
| Copyright of Physics Reports is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 163001909 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Gauge theories on quantum spaces. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Hersent%2C+Kilian%22">Hersent, Kilian</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> kilian.hersent@universite-paris-saclay.fr</i><br /><searchLink fieldCode="AR" term="%22Mathieu%2C+Philippe%22">Mathieu, Philippe</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> philippe.mathieu@math.uzh.ch</i><br /><searchLink fieldCode="AR" term="%22Wallet%2C+Jean-Christophe%22">Wallet, Jean-Christophe</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> jean-christophe.wallet@universite-paris-saclay.fr</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Physics+Reports%22">Physics Reports</searchLink>. May2023, Vol. 1014, p1-83. 83p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Quantum+theory%22">Quantum theory</searchLink><br /><searchLink fieldCode="DE" term="%22Gauge+field+theory%22">Gauge field theory</searchLink><br /><searchLink fieldCode="DE" term="%22Quantum+wells%22">Quantum wells</searchLink><br /><searchLink fieldCode="DE" term="%22Lie+algebras%22">Lie algebras</searchLink><br /><searchLink fieldCode="DE" term="%22Noncommutative+differential+geometry%22">Noncommutative differential geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Model+theory%22">Model theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We review the present status of gauge theories built on various quantum space–times described by noncommutative space–times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on Moyal spaces as well as on quantum spaces whose coordinates form a Lie algebra are covered, with particular emphasis on some explored quantum properties. Recent attempts aiming to include gravity dynamics within a noncommutative framework are also considered. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Physics Reports is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1016/j.physrep.2023.03.002 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 83 StartPage: 1 Subjects: – SubjectFull: Quantum theory Type: general – SubjectFull: Gauge field theory Type: general – SubjectFull: Quantum wells Type: general – SubjectFull: Lie algebras Type: general – SubjectFull: Noncommutative differential geometry Type: general – SubjectFull: Model theory Type: general Titles: – TitleFull: Gauge theories on quantum spaces. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Hersent, Kilian – PersonEntity: Name: NameFull: Mathieu, Philippe – PersonEntity: Name: NameFull: Wallet, Jean-Christophe IsPartOfRelationships: – BibEntity: Dates: – D: 03 M: 05 Text: May2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 03701573 Numbering: – Type: volume Value: 1014 Titles: – TitleFull: Physics Reports Type: main |
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