
Renormalization functions of the tricritical O(N)-symmetric Φ6 model beyond the next-to-leading order in 1/N
Author(s) -
S. Sakhi
Publication year - 2021
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
ISSN - 2399-6528
DOI - 10.1088/2399-6528/abfe4b
Subject(s) - renormalization , physics , regularization (linguistics) , order (exchange) , renormalization group , mathematical physics , combinatorics , mathematics , computer science , artificial intelligence , finance , economics
We investigate higher-order corrections to the effective potential of the tricritical O ( N )-symmetric Φ 6 model in 3-2 ε 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.