Higher Derivative Scalar Field Theory in the First Order Formalism

Details Higher Derivative Scalar Field Theory in the First Order Formalism Higher Derivative Scalar Field Theory in the First Order Formalism

2006-06-14

arxiv.org/abs/hep-th/0606128v2

AnnalesFond.Broglie31:343-356,2006

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, to be published in the Special Issue of Annales Fond. Broglie dedicated to Ettore Majorana, corrected typos

Scientific paper

The scalar field theory with higher derivatives is considered in the first order formalism. The field equation of the forth order describes scalar particles possessing two mass states. The first order relativistic wave equation in the 10-dimensional matrix form is derived. We find the relativistically invariant bilinear form and corresponding Lagrangian. The canonical energy-momentum tensor and density of the electromagnetic current are obtained. Dynamical and non-dynamical components of the wave function are separated and the quantum-mechanical Hamiltonian is found. Projection operators extracting solutions of field equations for definite energy and different mass states of particles are obtained. The canonical quantization of scalar fields with two mass states is performed, and propagators are found in the formalism considered.

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