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Title: Correlation functions in scalar field theory at large charge
Author: Arias Tamargo, G.
Rodríguez Gómez, Diego
Russo, J. G. (Jorge Guillermo)
Keywords: Simetria (Física)
Teoria quàntica de camps
Symmetry (Physics)
Quantum field theory
Issue Date: 28-Jan-2020
Publisher: Springer Verlag
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(x1)nϕ(x2)nϕ¯¯¯(x3)nϕ¯¯¯(x4)n⟩, which reveals an interesting structure.
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It is part of: Journal of High Energy Physics, 2020, num. 171
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ISSN: 1126-6708
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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