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Spectrum of anomalous dimensions in hypercubic theories

Antipin, Oleg; Bersini, Jahmall (2019) Spectrum of anomalous dimensions in hypercubic theories. Physical Review D, Particles and fields, 100 (6). ISSN 0556-2821

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We compute the spectrum of anomalous dimensions of nonderivative composite operators with an arbitrary number of fields n in the O(N) vector model with cubic anisotropy at the one-loop order in the ε expansion. The complete closed-form expression for the anomalous dimensions of the operators which do not undergo mixing effects is derived, and the structure of the general solution to the mixing problem is outlined. As examples, the full explicit solution for operators with up to n=6 fields is presented and a sample of the operator product expansion coefficients is calculated. The main features of the spectrum are described, including an interesting pattern pointing to the deeper structure.

Item Type: Article
Uncontrolled Keywords: conformal field theory ; renormalization group
Subjects: NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Project titleProject leaderProject codeProject type
Fizika teraskale na LHC-u i u svemiru-TsPhLCOleg AntipinIP-2016-06-4418HRZZ
Depositing User: Oleg Antipin
Date Deposited: 06 May 2020 10:55
DOI: 10.1103/PhysRevD.100.065008

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