Effective Field Theory for Chaotic CFTs
Abstract
We derive an effective field theory for general chaotic two-dimensional conformal field theories with a large central charge. The theory is a specific and calculable instance of a more general framework recently proposed in [1]. We discuss the gauge symmetries of the model and how they relate to the Lyapunov behaviour of certain correlators. We calculate the out-of-time-ordered correlators diagnosing quantum chaos, as well as certain more fine-grained higher-point generalizations, using our Lorentzian effective field theory. We comment on potential future applications of the effective theory to real-time thermal physics and conformal field theory.
Cite
@article{arxiv.1808.02898,
title = {Effective Field Theory for Chaotic CFTs},
author = {Felix M. Haehl and Moshe Rozali},
journal= {arXiv preprint arXiv:1808.02898},
year = {2018}
}
Comments
33 pages, 4 figures; v2: minor improvements, added paragraph on higher spin exchanges; v3: minor improvements, added reference, published version