Untangling scaling dimensions of fixed charge operators in Higgs theories

Oleg, Antipin; Jahmall, Bersini; Francesco, Sannino; Zhi-Wei, Wang; Chen, Zhang (2021) Untangling scaling dimensions of fixed charge operators in Higgs theories. Physical review. D, 103 (12). ISSN 2470-0010

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Abstract

We go beyond a systematic review of the semiclassical approaches for determining the scaling dimensions of fixed-charge operators in U(1) and O(N) models by introducing a general strategy apt at determining the relation between a given charge configuration and the associated operators for more involved symmetry groups such as the U(N) × U(M). We show how, varying the charge configuration, it is possible to access anomalous dimensions of different operators transforming according to a variety of irreducible representations of the non-Abelian symmetry group without the aid of diagrammatical computations. We illustrate our computational strategy by determining the anomalous dimensions of several composite operators to the next-to-leading order in the semiclassical expansion for the U(N) × U(M) conformal field theory (CFT) in 4 − ϵ dimensions. Thanks to the powerful interplay between semiclassical methods and group theory we can, for the first time, extract scaling dimensions for a wide range of operators.

Item Type:	Article
Uncontrolled Keywords:	critical exponents ; mathematica application ; beta-function ; lie-algebras ; renormalization ; dynamics ; models
Subjects:	NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions:	Theoretical Physics Division
Projects:	Project title Project leader Project code Project type Fizika teraskale na LHC-u i u svemiru-TsPhLC Oleg Antipin IP-2016-06-4418 HRZZ
Depositing User:	Oleg Antipin
Date Deposited:	06 Dec 2022 12:37
URI:	http://fulir.irb.hr/id/eprint/7657
DOI:	10.1103/PhysRevD.103.125024

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