On First-Order Generalized Maxwell Equations

Abstract

The generalized Maxwell equations including an additional scalar field are considered in the first-order formalism. The gauge invariance of the Lagrangian and equations is broken resulting 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.

14 pages, corrections in Eq.(38),(39),(59)

References in corpus (3)

• Experimental observation of optical rotation generated in vacuum by a magnetic field
• On the Particle Interpretation of the PVLAS Data: Neutral versus Charged Particles
• Effective Lagrangian at Cubic Order in Electromagnetic Fields and Vacuum Birefringence

Cited by in corpus (5)

• Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism
• Field theory of massive and massless vector particles in the Duffin - Kemmer - Petiau formalism
• Kalb-Ramond fields in the Petiau-Duffin-Kemmer formalism and scale invariance
• Note on Dirac--Kähler massless fields
• A note on generalized electrodynamics