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Single-scale renormalisation group improvement of multi-scale effective potentials

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cris.lastimport.scopus2024-02-12T19:41:12Z
dc.abstract.enWe present a new method for renormalisation group improvement of the effective potential of a quantum field theory with an arbitrary number of scalar fields. The method amounts to solving the renormalisation group equation for the effective potential with the boundary conditions chosen on the hypersurface where quantum corrections vanish. This hypersurface is defined through a suitable choice of a field-dependent value for the renormalisation scale. The method can be applied to any order in perturbation theory and it is a generalisation of the standard procedure valid for the one-field case. In our method, however, the choice of the renormalisation scale does not eliminate individual logarithmic terms but rather the entire loop corrections to the effective potential. It allows us to evaluate the improved effective potential for arbitrary values of the scalar fields using the tree-level potential with running coupling constants as long as they remain perturbative. This opens the possibility of studying various applications which require an analysis of multi-field effective potentials across different energy scales. In particular, the issue of stability of the scalar potential can be easily studied beyond tree level.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorŚwieżewska, Bogumiła
dc.contributor.authorProkopec, Tomislav
dc.contributor.authorSchmidt, Michael G.
dc.contributor.authorChataignier, Leonardo
dc.date.accessioned2024-01-26T07:38:59Z
dc.date.available2024-01-26T07:38:59Z
dc.date.issued2018
dc.description.financeNie dotyczy
dc.description.number3
dc.description.volume2018
dc.identifier.doi10.1007/JHEP03(2018)014
dc.identifier.issn1126-6708
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/119875
dc.identifier.weblinkhttp://link.springer.com/content/pdf/10.1007/JHEP03(2018)014.pdf
dc.languageeng
dc.pbn.affiliationphysical sciences
dc.relation.ispartofJournal of High Energy Physics
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleSingle-scale renormalisation group improvement of multi-scale effective potentials
dc.typeJournalArticle
dspace.entity.typePublication