We show that the correlator of three large charge operators with minimal scaling dimension can be computed semiclassically in conformal field theories (CFTs) with a U(1) symmetry for arbitrary fixed values of the ratios of their charges. We obtain explicitly the operator product expansion coefficient from the numerical solution of a nonlinear boundary value problem in the conformal superfluid effective field theory in 3d. The result applies in all three-dimensional CFTs with a U(1) symmetry whose large charge sector is a superfluid.
OPE meets semiclassics / Cuomo, G.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 103:8(2021), pp. 1-12. [10.1103/PhysRevD.103.085005]
OPE meets semiclassics
Cuomo G.
2021-01-01
Abstract
We show that the correlator of three large charge operators with minimal scaling dimension can be computed semiclassically in conformal field theories (CFTs) with a U(1) symmetry for arbitrary fixed values of the ratios of their charges. We obtain explicitly the operator product expansion coefficient from the numerical solution of a nonlinear boundary value problem in the conformal superfluid effective field theory in 3d. The result applies in all three-dimensional CFTs with a U(1) symmetry whose large charge sector is a superfluid.| File | Dimensione | Formato | |
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