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Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism | | S. I. Kruglov
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10 Jul 2009 | | Abstract: | The Podolsky generalized electrodynamics with higher derivatives is
formulated in the first-order formalism. The first-order relativistic wave
equation in the 20-dimensional matrix form is derived. We prove that the
matrices of the equation obey the Petiau-Duffin-Kemmer algebra. The
Hermitianizing matrix and Lagrangian in the first-order formalism are given.
The projection operators extracting solutions of field equations for states
with definite energy-momentum and spin projections are obtained. We find the
density matrix for the massive state. The modified Lagrangian for the
gage-invariant description of the massive vector fields is suggested. In this
case there is a massless ghost contrarily to Podolsky’s electrodynamics where
the massive state is the ghost. | | Source: | arXiv, 0907.1706 | | Services: | Forum | Review | PDF | Favorites | |
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