Correlation functions in scalar field theory at large charge
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 li...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2020 |
| País: | España |
| Recursos: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositório: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/179273 |
| Acesso em linha: | https://hdl.handle.net/2445/179273 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Simetria (Física) Teoria quàntica de camps Symmetry (Physics) Quantum field theory |
| Resumo: | 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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