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Effective field theory for chaotic CFTs

2018/08/31 by Felix M. Haehl, Moshe Rozali · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Chaotic #Conformal field theory #Conformal map #Effective field theory #Field (mathematics) #Field theory (psychology) #Gauge theory #Homogeneous space #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Quantum many-body systems #cond-mat.stat-mech #hep-th #nlin.CD #quant-ph

paper · pdf · doi:10.1007/jhep10(2018)118

33 pages, 4 figures; v2: minor improvements, added paragraph on higher spin exchanges; v3: minor improvements, added reference, published version

openalex created_date 2018/08/22 · openalex publication_date 2018/10/01 · arxiv created 2018/10/12 · arxiv updated 2018/10/22 · openalex updated_date 2026/08/05

Abstract

A bstract 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.

Citations

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