Gauge invariance on interaction U(1) bundles
| dc.contributor.author | Castrillón López, Marco | |
| dc.contributor.author | Hernández Encinas, Luis | |
| dc.contributor.author | Muñoz Masqué, Jaime | |
| dc.date.accessioned | 2023-06-20T18:54:35Z | |
| dc.date.available | 2023-06-20T18:54:35Z | |
| dc.date.issued | 2000 | |
| dc.description.abstract | The structure of the algebra of gauge-invariant differential forms on the bundle C × ME is determined, where p:C→M is the bundle of connections of a U(1) principal bundle π : P→M, and E→M is the associated bundle to P by the representation λr, rinBbb N, of U(1) on Bbb C given by λr(z)(w) = zrw, zinU(1), winBbb C. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | DGESIC | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/24299 | |
| dc.identifier.doi | 10.1088/0305-4470/33/16/314 | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.officialurl | http://iopscience.iop.org/0305-4470/33/16/314/ | |
| dc.identifier.relatedurl | http://iopscience.iop.org/1751-8121/ | |
| dc.identifier.relatedurl | http://www.ingentaconnect.com/content/iop/jphysa | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/58907 | |
| dc.issue.number | 16 | |
| dc.journal.title | Journal of physics A: Mathematical and theoretical | |
| dc.language.iso | eng | |
| dc.page.final | 3267 | |
| dc.page.initial | 3253 | |
| dc.publisher | IOP Publishing Ltd | |
| dc.relation.projectID | PB98–0533. | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514.7 | |
| dc.subject.keyword | Gauge invariance | |
| dc.subject.keyword | U(1) bundles. | |
| dc.subject.ucm | Geometría diferencial | |
| dc.subject.unesco | 1204.04 Geometría Diferencial | |
| dc.title | Gauge invariance on interaction U(1) bundles | |
| dc.type | journal article | |
| dc.volume.number | 33 | |
| dcterms.references | Frank Adams J 1969 Lectures on Lie Groups (New York: Benjamin) Atiyah M F 1957 Complex analytic connections in fibre bundles Trans. Am. Math. Soc. 85 181–207 Betounes D 1989 The geometry of gauge-particle field interaction: a generalization of Utiyama’s theorem J. Geom. Phys. 16 107–25 Bleecker D 1981 Gauge Theory and Variational Principles (Reading, MA: Addison-Wesley) Eck D J 1981 Gauge-natural bundles and generalized gauge theories Mem. Am. Math. Soc. 247 García P L 1977 Gauge algebras, curvature and symplectic geometry J. Diff. Geom. 12 209–27 Hern´andez Encinas L and Mu˜noz Masqu´e J 1994 Symplectic structure and gauge invariance on the cotangent bundle J. Math. Phys. 35 426–34 Hernández Encinas L and Muñoz Masqué J 1994 Gauge invariance on the bundle of connections of a U(1)principal bundle C. R. Acad. Sci., Paris 318 1133–8 Hernández Encinas L, Montoya Vitini F and Muñoz Masqué J 1995 Invariant differential forms on K(P)×M E Proc. 40th Yamada Conf., 20th Int. Coll. on Group Theoretical Methods in Physics (Toyonaka, Japan, 1994)ed A Arima, T Eguchi and N Nakanishi (Singapore: World Scientific) (Japan: Yamada Science Foundation) pp 219–22 Kobayashi S and Nomizu K 1963 Foundations of Differential Geometry I (New York: Wiley) Mickelsson J 1989 Current Algebras and Groups (New York: Plenum) Muñnoz Masqué J 1984 Formes de structure et transformations infinit´esimales de contact d’ordre sup´erieur C. R. Acad. Sci., Paris 298 185–8 Ne'eman Y and Sternberg S 1991 Internal supersymmetry and superconnections Symplectic Geometry andMathematical Physics (Progress in Mathematics vol 99) (Cambridge, MA: Birkh¨auser Boston) pp 326–54 Utiyama R 1956 Invariant theoretical interpretation of interaction Phys. Rev. 101 1597–607 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 32e59067-ef83-4ca6-8435-cd0721eb706b | |
| relation.isAuthorOfPublication.latestForDiscovery | 32e59067-ef83-4ca6-8435-cd0721eb706b |
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