A Family of Unitary Higher Order Equations

A scalar field obeying a Lorentz invariant higher order wave equation, is minimally coupled to the electromagnetic field. The propagator and vertex factors for the Feynman diagrams, are determined. As an example we write down the matrix element for the Compton effect. This matrix element is algebrai...

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Detalles Bibliográficos
Autores principales: Bollini, Carlos Guido, Oxman, Luis E., Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1997
Materias:
Física
Propagator
Scalar field
Physics
Vertex (curve)
Electromagnetic field
Order theory
Mathematical physics
Wave equation
Feynman diagram
Lorentz covariance
Klein–Gordon equation
Order (ring theory)
Quantum mechanics
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/123058
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-123058
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Propagator
Scalar field
Physics
Vertex (curve)
Electromagnetic field
Order theory
Mathematical physics
Wave equation
Feynman diagram
Lorentz covariance
Klein–Gordon equation
Order (ring theory)
Quantum mechanics
spellingShingle Física
Propagator
Scalar field
Physics
Vertex (curve)
Electromagnetic field
Order theory
Mathematical physics
Wave equation
Feynman diagram
Lorentz covariance
Klein–Gordon equation
Order (ring theory)
Quantum mechanics
Bollini, Carlos Guido
Oxman, Luis E.
Rocca, Mario Carlos
A Family of Unitary Higher Order Equations
topic_facet Física
Propagator
Scalar field
Physics
Vertex (curve)
Electromagnetic field
Order theory
Mathematical physics
Wave equation
Feynman diagram
Lorentz covariance
Klein–Gordon equation
Order (ring theory)
Quantum mechanics
description A scalar field obeying a Lorentz invariant higher order wave equation, is minimally coupled to the electromagnetic field. The propagator and vertex factors for the Feynman diagrams, are determined. As an example we write down the matrix element for the Compton effect. This matrix element is algebraically reduced to the usual one for a charged Klein–Gordon particle. It is proven that the nth order theory is equivalent to n independent second order theories. It is also shown that the higher order theory is both renormalizable and unitary for arbitrary n.
format Articulo
Preprint
author Bollini, Carlos Guido
Oxman, Luis E.
Rocca, Mario Carlos
author_facet Bollini, Carlos Guido
Oxman, Luis E.
Rocca, Mario Carlos
author_sort Bollini, Carlos Guido
title A Family of Unitary Higher Order Equations
title_short A Family of Unitary Higher Order Equations
title_full A Family of Unitary Higher Order Equations
title_fullStr A Family of Unitary Higher Order Equations
title_full_unstemmed A Family of Unitary Higher Order Equations
title_sort family of unitary higher order equations
publishDate 1997
url http://sedici.unlp.edu.ar/handle/10915/123058
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