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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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Lenguaje: | eng |
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2009
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Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.81.076007 http://cds.cern.ch/record/1227765 |
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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 |