Current forms and gauge invariance
| dc.contributor.author | Castrillón López, Marco | |
| dc.contributor.author | Muñoz Masqué, Jaime | |
| dc.date.accessioned | 2023-06-20T10:36:44Z | |
| dc.date.available | 2023-06-20T10:36:44Z | |
| dc.date.issued | 2004 | |
| dc.description.abstract | Let C be the bundle of connections of a principal G-bundle π: P → M,and let V be the vector bundle associated with P by a linear representation G → GL(V ) on a finite-dimensional vector space V . The Lagrangians on J 1(C ×M V) whose current form is gauge invariant, are described and the gauge-invariant Lagrangians on J 1(V) are classified. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22441 | |
| dc.identifier.doi | 10.1088/0305-4470/37/19/008 | |
| dc.identifier.issn | 0305-4470 | |
| dc.identifier.officialurl | http://iopscience.iop.org/0305-4470/37/19/008 | |
| dc.identifier.relatedurl | http://iopscience.iop.org | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50768 | |
| dc.issue.number | 19 | |
| dc.journal.title | Journal of physics A: Mathematical and general | |
| dc.language.iso | eng | |
| dc.page.final | 5227 | |
| dc.page.initial | 5211 | |
| dc.publisher | IOP Publishing | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514.745 | |
| dc.subject.ucm | Geometría diferencial | |
| dc.subject.unesco | 1204.04 Geometría Diferencial | |
| dc.title | Current forms and gauge invariance | |
| dc.type | journal article | |
| dc.volume.number | 37 | |
| dcterms.references | Betounes D 1989 The geometry of gauge–particle field interaction: a generalization of Utiyama’s theorem J. Geom. Phys. 6 107–25 Bleecker D 1981 Gauge Theory and Variational Principles (Reading, MA: Addison-Wesley) Bredon G E 1972 Introduction to Compact Transformation Groups (New York: Academic) Castrillón López M, Hernández Encinas L and Muñoz Masqué J 2000 Gauge invariance on interaction U(1)bundles J. Phys. A: Math. Gen. 33 3253–67 Castrillón López M and Muñoz Masqué J 2001 The geometry of the bundle of connections Math. Z. 236 797–811 Castrillón López M and Muñoz Masqué J 2003 U(1)-invariant current forms Rep. Math. Phys. 52 423–35 Eck D J 1981 Gauge-natural bundles and generalized gauge theories Mem. Am. Math. Soc. 247 García Pérez P 1974 The Poincaré–Cartan invariant in the calculus of variations Symposia Mathematica, Convegno di Geometria Simplettica e Fisica Matematica, INDAM, Rome, 1973 vol 14 (London: Academic)pp 219–46 García Pérez P 1972 Connections and 1-jet bundles Rend. Sem. Mat. Univ. Padova 47 227–42 García Pérez P 1977 Gauge algebras, curvature and symplectic structure J. Differ. Geom. 12 209–27 García Pérez P and Pérez RendónA1978 Reducibility of the symplectic structure of minimal interactions Lecture Notes in Math. (Proc. Conf. Differential GeometricalMethods in Mathematical Physics, II’, University Bonn (Bonn, 1977) vol 676 (Berlin: Springer) pp 409–33 Guillemin V and Sternberg S 1984 Symplectic Techniques in Physics (Cambridge: Cambridge University Press) Kobayashi S and Nomizu K 1963 Foundations of Differential Geometry vol 1 (New York: Wiley) Schwarz G W 1975 Smooth functions invariant under the action of a compact Lie group Topology 14 63–8 Serre J-P 1987 Complex Semisimple Lie Algebras (New York: Springer) Utiyama R 1956 Invariant theoretical interpretation of interaction Phys. Rev. 101 1597–1607 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 32e59067-ef83-4ca6-8435-cd0721eb706b | |
| relation.isAuthorOfPublication.latestForDiscovery | 32e59067-ef83-4ca6-8435-cd0721eb706b |
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