Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism

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, and we find the density matrix for the massive state. The $13\times 13$-matrix Schrodinger form of the equation is derived, and the Hamiltonian is obtained. Projection operators extracting the physical eigenvalues of the Hamiltonian are found.

17 pages, minor corrections, published version

References in corpus (4)

• The Lee-Wick Standard Model
• Second Order Gauge Theory
• Boson-boson effective nonrelativistic potential for higher-derivative electromagnetic theories in D dimensions
• On First-Order Generalized Maxwell Equations

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