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Abstract
We consider correlators for the flux of energy and charge in the background of operators with large global U(1) charge in conformal field theory (CFT). It has recently been shown that the corresponding Euclidean correlators generically admit a semiclassical description in terms of the effective field theory (EFT) for a conformal superfluid. We adapt the semiclassical description to Lorentzian observables and compute the leading large charge behavior of the flux correlators in general U(1) symmetric CFTs. We discuss the regime of validity of the large charge EFT for these Lorentzian observables and the subtleties in extending the EFT approach to subleading corrections. We also consider the Wilson-Fisher fixed point in d = 4 − ϵ dimensions, which offers a specific weakly coupled realization of the general setup, where the subleading corrections can be systematically computed without relying on an EFT.
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Details

1 Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland (GRID:grid.5333.6) (ISNI:0000 0001 2183 9049)
2 Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland (GRID:grid.5333.6) (ISNI:0000 0001 2183 9049); University of South Carolina, Department of Physics and Astronomy, Columbia, USA (GRID:grid.254567.7) (ISNI:0000 0000 9075 106X)
3 Theoretical Particle Physics Laboratory (LPTP), Institute of Physics, École Polytechnique Fédérale de Lausanne (EPFL), Lausanne, Switzerland (GRID:grid.5333.6) (ISNI:0000 0001 2183 9049); Université de Genève, Department of Theoretical Physics, Genève, Switzerland (GRID:grid.8591.5) (ISNI:0000 0001 2175 2154); Trinity College, Hamilton Mathematics Institute, School of Mathematics, Dublin 2, Ireland (GRID:grid.8217.c) (ISNI:0000 0004 1936 9705); Heriot-Watt University, Maxwell Institute for Mathematical Sciences, Department of Mathematics, Edinburgh, UK (GRID:grid.9531.e) (ISNI:0000000106567444)