Exact results for scaling dimensions of neutral operators in scalar conformal field theories

Antipin, Oleg; Bersini, Jahmall; Sannino, Francesco (2025) Exact results for scaling dimensions of neutral operators in scalar conformal field theories. Physical Review D, 111 (4). ISSN 2470-0010

PDF - Published Version - article Available under License Creative Commons Attribution. Download (226kB)

Abstract

We determine the scaling dimension Δn for the class of composite operators ϕn in the λϕ4 theory in d=4-ε taking the double scaling limit n→∞ and λ→0 with fixed λn via a semiclassical approach. Our results resum the leading power of n at any loop order. In the small λn regime we reproduce the known diagrammatic results and predict the infinite series of higher-order terms. For intermediate values of λn we find that Δn/n increases monotonically approaching a (λn)^1/3 behavior in the λn→∞ limit. We further generalize our results to neutral operators in the ϕ4 in d=4-ε, ϕ3 in d=6-ε and ϕ6 in d=3-ε theories with O(N) symmetry.

Item Type:	Article
Uncontrolled Keywords:	Renormalization; semiclassical methods; conformal field theory
Subjects:	NATURAL SCIENCES > Physics NATURAL SCIENCES > Physics > Astronomy and Astrophysics
Divisions:	Theoretical Physics Division
Depositing User:	Ema Buhin Šaler
Date Deposited:	24 Mar 2026 14:35
URI:	http://fulir.irb.hr/id/eprint/11451
DOI:	10.1103/PhysRevD.111.L041701

Actions (login required)

View Item