The God has created a man in order that he creates that the God fails to do

Friday, 19 December 2014

New article "Classical Higgs fields"

My article: G. Sardanashvily, Classical Higgs fields, Theoretical and Mathematical Physics 181 (2014) 1598-1610 (#)


We consider classical gauge theory with spontaneous symmetry breaking on a principal bundle P->X whose structure group G is reducible to a closed subgroup H, and sections of the quotient bundle P->P/H->X are treated as classical Higgs fields. In this theory, matter fields with an exact symmetry group H are described by sections of a composite bundle Y->P/H->X. We show that their gauge G-invariant Lagrangian necessarily factorizes through a vertical covariant differential on Y defined by a principal connection on an H-principal bundle P->P/H.

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