# Heavy Operators and Hydrodynamic Tails

### Submission summary

 As Contributors: Luca Delacrétaz Arxiv Link: https://arxiv.org/abs/2006.01139v1 (pdf) Date submitted: 2020-06-22 Submitted by: Delacrétaz, Luca Submitted to: SciPost Physics Discipline: Physics Subject area: High-Energy Physics - Theory Approach: Theoretical

### Abstract

The late time physics of interacting QFTs at finite temperature is controlled by hydrodynamics. For CFTs this implies that heavy operators -- which are generically expected to create thermal states -- can be studied semiclassically. We show that hydrodynamics universally fixes the OPE coefficients $C_{HH'L}$, on average, of all neutral light operators with two non-identical heavy ones, as a function of the scaling dimension and spin of the operators. These methods can be straightforwardly extended to CFTs with global symmetries, and generalize recent EFT results on large charge operators away from the case of minimal dimension at fixed charge. We also revisit certain aspects of late time thermal correlators in QFT and other diffusive systems.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission 2006.01139v1 on 22 June 2020