Chataignier, Leonardo ORCID: 0000-0001-6691-3695, Prokopec, Tomislav, Schmidt, Michael G. and Swiezewska, Bogumila ORCID: 0000-0003-0169-211X (2018). Single-scale renormalisation group improvement of multi-scale effective potentials. J. High Energy Phys. (3). NEW YORK: SPRINGER. ISSN 1029-8479

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We 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.

Item Type: Journal Article
CreatorsEmailORCIDORCID Put Code
URN: urn:nbn:de:hbz:38-193015
DOI: 10.1007/JHEP03(2018)014
Journal or Publication Title: J. High Energy Phys.
Number: 3
Date: 2018
Publisher: SPRINGER
Place of Publication: NEW YORK
ISSN: 1029-8479
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
EQUATIONSMultiple languages
Physics, Particles & FieldsMultiple languages
Refereed: Yes


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