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Theory of Classical Higgs Fields. II. Lagrangiansстатья
- Авторы: Sardanashvily G., Kurov A.
- Журнал: ArXiv e-prints
- Номер: 1411.7317
- Год издания: 2014
- Первая страница: 1
- Последняя страница: 7
- Аннотация: 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/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 (Theorems 5 and 6).
- Добавил в систему: Сарданашвили Геннадий Александрович