Higher Derivative Scalar Field Theory in the First Order Formalism

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dc.creatorKruglov, S. I.
dc.date2006-06-14
dc.date2006-12-07
dc.date.accessioned2026-07-07T11:06:40Z
dc.date.available2026-07-07T11:06:40Z
dc.descriptionThe 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.
dc.description15 pages, to be published in the Special Issue of Annales Fond. Broglie dedicated to Ettore Majorana, corrected typos
dc.identifierhttps://arxiv.org/abs/hep-th/0606128
dc.identifierhttp://arxiv.org/abs/hep-th/0606128
dc.identifierAnnalesFond.Broglie31:343-356,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189596
dc.subjectHigh Energy Physics - Theory
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Phenomenology
dc.titleHigher Derivative Scalar Field Theory in the First Order Formalism
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