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New Renormalization Group Equations and the Naturalness Problem

Looking for an observable manifestation of the so-called unnaturalness of scalar fields we introduce a seemingly new set of differential equations for connected Green functions. These equations describe the momentum dependence of the Green functions and are close relatives to the previously known re...

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Detalles Bibliográficos
Autor principal: Pivovarov, Grigorii
Lenguaje:eng
Publicado: 2009
Materias:
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.81.076007
http://cds.cern.ch/record/1227765
Descripción
Sumario:Looking for an observable manifestation of the so-called unnaturalness of scalar fields we introduce a seemingly new set of differential equations for connected Green functions. These equations describe the momentum dependence of the Green functions and are close relatives to the previously known renormalization group equations. Applying the new equations to the theory of scalar field with $\phi^4$ interaction we identify a relation between the four-point Green function and the propagator which expresses the unnaturalness of the scalar field. Possible manifestations of the unnaturalness at low momenta are briefly discussed.