Platonic field theories
Year: 2019
Authors: Zinati RB., Codello A., Gori G.
Autors Affiliation: SISSA, Via Bonomea 265, I-34136 Trieste, Italy; INFN, Sez Trieste, Via Bonomea 265, I-34136 Trieste, Italy; Southern Univ Sci & Technol, Dept Phys, Shenzhen 518055, Peoples R China; INFN, Sez Bologna, Via Irnerio 46, I-40126 Bologna, Italy; Univ Padua, Dipartimento Fis & Astron Galileo Galilei, I-35131 Padua, Italy; CNR, IOM, Via Bonomea 265, I-34136 Trieste, Italy.
Abstract: We study renormalization group (RG) fixed points of scalar field theoin order to get access to the corresponding RG beta functions, we derive general multicomponent beta functionals beta(V) and beta(Z) in the aforementioned upper critical dimensions, most of which are novel. The field theories we analyze have N = 2 (polygons), N = 3 (Platonic solids) and N = 4 (hyper-Platonic solids) field components. The main results of this analysis include a new candidate universality class in three physical dimensions based on the symmetry group D-5 of the Pentagon. Moreover we find new Icosahedron fixed points in d < 3, the fixed points of the 24-Cell, multi-critical O(N) and phi(n)-Cubic universality classes. Journal/Review: JOURNAL OF HIGH ENERGY PHYSICS
Volume: (4) Pages from: 152-1 to: 152-32
KeyWords: Discrete Symmetries; Renormalization GroupDOI: 10.1007/JHEP04(2019)152Citations: 15data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2025-09-14References taken from IsiWeb of Knowledge: (subscribers only)
