More on the cubic versus quartic interaction equivalence in the O (N) model

Oleg Antipin, Jahmall Bersini, Francesco Sannino, Zhi Wei Wang*, Chen Zhang*

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Abstract

We compute the scaling dimensions of a family of fixed-charge operators at the infrared fixed point of the O(N) model featuring cubic interactions in d=6-ϵ for arbitrary N to leading and subleading order in the charge but to all orders in the couplings. The results are used to analyze the conjectured equivalence with the O(N) model displaying quartic interactions at its ultraviolet fixed point. This is performed by comparing the cubic model scaling dimensions against the known large N results for the quartic model and demonstrating that they match. Our results reinforce the conjectured equivalence and further provide novel information on the finite N physics stemming from the computations in the cubic model just below six dimensions.

OriginalsprogEngelsk
Artikelnummer085002
TidsskriftPhysical Review D
Vol/bind104
Udgave nummer8
Antal sider16
ISSN2470-0010
DOI
StatusUdgivet - 2021

Bibliografisk note

Funding Information:
The work of O. A. and J. B. is partially supported by the Croatian Science Foundation Project No. 4418. C. Z. is supported by MIUR under Grant No. 2017L5W2PT and INFN Grant STRONG and thanks the Galileo Galilei Institute for the hospitality.

Publisher Copyright:
© 2021 authors. Published by the American Physical Society.

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