Gauge-Invariant Characterization of Yang–Mills–Higgs Equations
| dc.contributor.author | Castrillón López, Marco | |
| dc.contributor.author | Muñoz Masqué, Jaime | |
| dc.date.accessioned | 2023-06-20T10:36:29Z | |
| dc.date.available | 2023-06-20T10:36:29Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | Let C → M be the bundle of connections of a principal G-bundle P → M over a pseudo-Riemannian manifold (M,g) of signature (n+, n−) and let E → M be the associated bundle with P under a linear representation of G on a finite-dimensional vector space. For an arbitrary Lie group G, the O(n+,n-) × G-invariant quadratic Lagrangians on J1(C ×M E) are characterized. In particular, for a simple Lie group the Yang–Mills and Yang–Mills–Higgs Lagrangians are characterized, up to an scalar factor, to be the only O(n+, n−) × G-invariant quadratic Lagrangians. These results are also analyzed on several examples of interest in gauge theory. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Educación y Ciencia of Spain | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/22266 | |
| dc.identifier.doi | 10.1007/s00023-006-0305-5 | |
| dc.identifier.issn | 1424-0637 | |
| dc.identifier.officialurl | http://link.springer.com/content/pdf/10.1007%2Fs00023-006-0305-5.pdf | |
| dc.identifier.relatedurl | http://link.springer.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/50751 | |
| dc.issue.number | 1 | |
| dc.journal.title | Annales Henri Poincaré | |
| dc.language.iso | eng | |
| dc.page.final | 217 | |
| dc.page.initial | 203 | |
| dc.publisher | http://link.springer.com | |
| dc.relation.projectID | MTM2004–01683;MTM2005–00173 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514.744 | |
| dc.subject.ucm | Álgebra | |
| dc.subject.unesco | 1201 Álgebra | |
| dc.title | Gauge-Invariant Characterization of Yang–Mills–Higgs Equations | |
| dc.type | journal article | |
| dc.volume.number | 8 | |
| dcterms.references | M. F. Atiyah, Complex analytic connections in fibre bundles, Trans. Amer. Math. Soc. 85 (1957), 181–207. D. Betounes, The geometry of gauge-particle field interaction: a generalization of Utiyama’s theorem, J. Geom. Phys. 6 (1989), 107–125. D. Bleecker, Gauge Theory and Variational Principles, Addison-Wesley Publishing Company, Inc., Reading, MA, 1981. D. J. Eck, Gauge-natural bundles and generalized gauge theories, Mem. Amer. Math. Soc. 33 (1981), no. 247. D. S. Freed, Classical Chern–Simons theory. I , Adv. Math. 113 (1995), no. 2, 237–303. P. L. García, Connections and 1-jet bundles, Rend. Sem. Mat. Univ. Padova 47 (1972), 227–242. P. L. García, Gauge algebras, curvature and symplectic structure, J. Differential Geom. 12 (1977), 209–227. R. Goodman, N.R. Wallach, Representations and invariants of the classical groups, Encyclopedia of Mathematics and its Applications 68, Cambridge University Press, Cambridge,1998. V. Guillemin, S. Sternberg, Symplectic Techniques in Physics, Cambridge University Press, Cambridge, UK, 1983. T. Hagiwara, A non-abelian Born–Infeld Lagrangian, J. Phys. A: Math. Gen. 14(1981), 3059–3065. S. Kobayashi, K. Nomizu, Foundations of Differential Geometry, JohnWiley & Sons,Inc. (Interscience Division), New York, Volume I, 1963; Volume II, 1969. S. Kuwata, Born–Infeld Lagrangian using Cayley–Dickson algebras, Internat. J. Modern Phys. A 19 (2004), no. 10, 1525–1548. A. Onishchik, Lectures on Real Semisimple Lie Algebras and their Representations, European Mathematical Society,Zürich, 2004. R. Utiyama, Invariant Theoretical Interpretation of Interaction, Phys. Rev. 101(1956), 1597–1607. A. Zee, Quantum Field Theory in a Nutshell , Princeton University Press, New Jersey,2003. | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 32e59067-ef83-4ca6-8435-cd0721eb706b | |
| relation.isAuthorOfPublication.latestForDiscovery | 32e59067-ef83-4ca6-8435-cd0721eb706b |
Download
Original bundle
1 - 1 of 1