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

Antipin, Oleg; Bersini, Jahmall; Sannino, Francesco; Wang, Zhi-Wei; Zhang, Chen (2021) More on the cubic versus quartic interaction equivalence in the O(N) model. Physical Review D, 104 . ISSN 2470-0010

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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 ind=6-\epsilon 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 6 dimensions.

Item Type: Article
Uncontrolled Keywords: quantum-field theory; 1/N expansion; large N ;exponent-eta ; order ; renormalization
NATURAL SCIENCES > Physics > Physics of Elementary Particles and Fields
Divisions: Theoretical Physics Division
Depositing User: Oleg Antipin
Date Deposited: 08 Dec 2022 13:10
DOI: 10.1103/PhysRevD.104.085002

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