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- Title
Correlation functions in scalar field theory at large charge.
- Authors
Arias-Tamargo, G.; Rodriguez-Gomez, D.; Russo, J. G.
- Abstract
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 x 1 n ϕ x 2 n ϕ ¯ x 3 n ϕ ¯ x 4 n , which reveals an interesting structure.
- Publication
Journal of High Energy Physics, 2020, Vol 2020, Issue 1, p1
- ISSN
1126-6708
- Publication type
Article
- DOI
10.1007/JHEP01(2020)171