Geodesic
Classical Higgs fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 3, pp. 553-567 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a classical gauge theory on a principal fiber bundle $P\to X$ in the case where its structure group $G$ is reduced to a subgroup $H$ in the presence of classical Higgs fields described by global sections of the quotient fiber bundle $P/H\to X$. We show that matter fields with the exact symmetry group $H$ in such a theory are described by sections of the composition fiber bundle $Y\to P/H\to X$, where $Y\to P/H$ is the fiber bundle with the structure group $H$, and the Lagrangian of these sections is factored by virtue of the vertical covariant differential determined by a connection on the fiber bundle $Y\to P/H$.
Keywords: gauge field, Higgs field, matter field, fiber bundle, connection. 
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     author = {G. A. Sardanashvily},
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G. A. Sardanashvily. Classical Higgs fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 181 (2014) no. 3, pp. 553-567. http://geodesic.mathdoc.fr/item/TMF_2014_181_3_a9/

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