Renormalization functions of the tricritical O(N)-symmetric Φ6 model beyond the next-to-leading order in 1/N

We investigate higher-order corrections to the effective potential of the tricritical O(N)-symmetric \({{\rm{\Phi }}}^{6}\) model in 3-2ε dimensions in its phase exhibiting spontaneous breaking of its scale symmetry. The renormalization group β-function and the anomalous dimension γ of this model ar...

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Bibliographic Details
Published in:Journal of physics communications 2021-05, Vol.5 (5)
Main Author: Sakhi, S
Format: Article
Language:English
Subjects:
1/N expansion
effective potential
renormalization
Online Access:Get full text
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Summary:We investigate higher-order corrections to the effective potential of the tricritical O(N)-symmetric \({{\rm{\Phi }}}^{6}\) model in 3-2ε dimensions in its phase exhibiting spontaneous breaking of its scale symmetry. The renormalization group β-function and the anomalous dimension γ of this model are computed up to the next-to-next-to-leading order in the1/N expansion technique and using a dimensional regularization in a minimal subtraction scheme.
ISSN:2399-6528
DOI:10.1088/2399-6528/abfe4b