Higgs fields induced by Yang--Mills type Lagrangians on gauge-natural prolongations of principal bundles
| Autor: | Palese, Marcella, Winterroth, Ekkehart |
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| Rok vydání: | 2019 |
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| Zdroj: | Int. J. Geom. Methods Mod. Phys. 16 (03) 1950049 (2019) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S021988781950049X |
| Popis: | We address some new issues concerning spontaneous symmetry breaking. We define classical Higgs fields for gauge-natural invariant Yang--Mills type Lagrangian field theories through the requirement of the existence of {\em canonical} covariant gauge-natural conserved quantities. As an illustrative example we consider the `gluon Lagrangian', i.e. a Yang--Mills Lagrangian on the $(1,1)$-order gauge-natural bundle of $SU(3)$-principal connections, and canonically define a `gluon' classical Higgs field through the split reductive structure induced by the kernel of the associated gauge-natural Jacobi morphism. Comment: 20 pages, some oversights corrected |
| Databáze: | arXiv |
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