Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-01-28
Electronic Journal of Theoretical Physics - Zacatecas Proc. II (2011) 107-120
Physics
High Energy Physics
High Energy Physics - Theory
17 pages, typos corrected, extended version, references added
Scientific paper
The generalized Maxwell equations with arbitrary gauge parameter are considered in the $11\times 11$-matrix form. The gauge invariance of such a model is broken due to the presence of a scalar field. The canonical and symmetrical Belinfante energy-momentum tensors are found. The dilatation current is obtained and we demonstrate that the theory possesses the dilatation symmetry. The matrix Schr\"{o}dinger form of equations is derived. The non-minimal interaction in curved space-time is introduced and equations are considered in Friedmann - Robertson - Walker background. We obtain some solutions of equations for the vector field.
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