2006/10/31 by S. I. Kruglov · 2 citations
Mathematics · Physics and Astronomy · #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Particle physics theoretical and experimental studies #astro-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1139/p08-032
published as Can.J.Phys.86:995-1000,2008 · 14 pages, corrections in Eq.(38),(39),(59)
openalex publication_date 2008/08/01 · arxiv created 2009/11/29 · arxiv updated 2011/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The generalized Maxwell equations including an additional scalar field are considered in the first-order formalism. The gauge invariance of the Lagrangian and the equations is broken resulting in the appearance of a scalar field. We find the canonical and symmetrical Belinfante energy-momentum tensors. It is shown that the traces of the energy-momentum tensors are not equal to zero and the dilatation symmetry is broken in the theory considered. The matrix Hamiltonian form of equations is obtained after the exclusion of the nondynamical components. The canonical quantization is performed and the propagator of the fields is found in the first-order formalism.PACS Nos.: 03.65.Pm, 03.70.+k, 04.20.Fy