2025/11/11 by Oleg Antipin, Jahmall Bersini, Antipin, Oleg +7 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Quantum Chromodynamics and Particle Interactions #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.2511.08276
openalex publication_date 2025/11/11 · openalex created_date 2025/11/13 · openalex updated_date 2026/07/28
We develop a semiclassical framework to determine scaling dimensions of neutral composite operators in scalar conformal field theories. For the critical Ising λϕ4 theory in d=4-ε, we obtain the full spectrum of composite operators built out of n fields transforming in the traceless-symmetric Lorentz representations to next-to-leading order in the double-scaling limit n→ ∞ and λ→ 0 with λn fixed. At any given order the semiclassical expansion resums an infinite number of Feynman diagrams. Combining our results with existing perturbative computations further yields the complete five-loop scaling dimensions in the ε-expansion for the family of ϕn operators. Finally, in three dimensions the next-to-leading order semiclassical results supersede any other existing methodology for n \gtrsim O(10).