Cargando…

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...

Descripción completa

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
_version_ 1780918439906377728
author Pivovarov, Grigorii
author_facet Pivovarov, Grigorii
author_sort Pivovarov, Grigorii
collection CERN
description 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.
id cern-1227765
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2009
record_format invenio
spelling cern-12277652023-03-15T19:11:50Zdoi:10.1103/PhysRevD.81.076007http://cds.cern.ch/record/1227765engPivovarov, GrigoriiNew Renormalization Group Equations and the Naturalness ProblemParticle Physics - PhenomenologyLooking 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.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.arXiv:0912.1521CERN-PH-TH-2009-242CERN-PH-TH-2009-242oai:cds.cern.ch:12277652009-12-09
spellingShingle Particle Physics - Phenomenology
Pivovarov, Grigorii
New Renormalization Group Equations and the Naturalness Problem
title New Renormalization Group Equations and the Naturalness Problem
title_full New Renormalization Group Equations and the Naturalness Problem
title_fullStr New Renormalization Group Equations and the Naturalness Problem
title_full_unstemmed New Renormalization Group Equations and the Naturalness Problem
title_short New Renormalization Group Equations and the Naturalness Problem
title_sort new renormalization group equations and the naturalness problem
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1103/PhysRevD.81.076007
http://cds.cern.ch/record/1227765
work_keys_str_mv AT pivovarovgrigorii newrenormalizationgroupequationsandthenaturalnessproblem