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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Autores principales: Bollini, C.G., Oxman, L.E., Rocca, M.C.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0217751X_v12_n16_p2915_Bollini
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_0217751X_v12_n16_p2915_Bollini
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spelling todo:paper_0217751X_v12_n16_p2915_Bollini2023-10-03T15:10:30Z A family of unitary higher order equations Bollini, C.G. Oxman, L.E. Rocca, M.C. 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. © World Scientific Publishing Company. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0217751X_v12_n16_p2915_Bollini
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
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. © World Scientific Publishing Company.
format JOUR
author Bollini, C.G.
Oxman, L.E.
Rocca, M.C.
spellingShingle Bollini, C.G.
Oxman, L.E.
Rocca, M.C.
A family of unitary higher order equations
author_facet Bollini, C.G.
Oxman, L.E.
Rocca, M.C.
author_sort Bollini, C.G.
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
url http://hdl.handle.net/20.500.12110/paper_0217751X_v12_n16_p2915_Bollini
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AT roccamc afamilyofunitaryhigherorderequations
AT bollinicg familyofunitaryhigherorderequations
AT oxmanle familyofunitaryhigherorderequations
AT roccamc familyofunitaryhigherorderequations
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