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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/179273
Correlation functions in scalar field theory at large charge
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We compute general higher-point functions in the sector of large charge operators ϕn,ϕ¯¯¯n at large charge in O(2) (ϕ¯¯¯ϕ)2 theory. We find that there is a special class of "extremal" correlators having only one insertion of ϕ¯¯¯n that have a remarkably simple form in the double-scaling limit n →∞ at fixed g n2 ≡ λ, where g ~ ϵ is the coupling at the O(2) Wilson-Fisher fixed point in 4 − ϵ dimensions. In this limit, also non-extremal correlators can be computed. As an example, we give the complete formula for ⟨ϕ(x1)nϕ(x2)nϕ¯¯¯(x3)nϕ¯¯¯(x4)n⟩, which reveals an interesting structure.
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ARIAS TAMARGO, G., RODRÍGUEZ GÓMEZ, Diego and RUSSO, J. G. (Jorge Guillermo). Correlation functions in scalar field theory at large charge. Journal of High Energy Physics. 2020. Vol. 171. ISSN 1126-6708. [consulted: 9 of June of 2026]. Available at: https://hdl.handle.net/2445/179273