Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories

Abstract

We consider 2d QFTs as relevant deformations of CFTs in the thermodynamic limit. Using causality and KPZ universality, we place a lower bound on the timescale characterizing the onset of hydrodynamics. The bound is determined parametrically in terms of the temperature and the scale associated with the relevant deformation. This bound is typically much stronger than $\frac{1}{T}$, the expected quantum equilibration time. Subluminality of sound further allows us to define a thermodynamic $C$-function, and constrain the sign of the $\mathcal{T}\bar{\mathcal{T}}$ term in EFTs.

33 pages, 7 figures; v2: published version; v3: Sec. 5.4 updated, references added

References in corpus (20)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Causality, Analyticity and an IR Obstruction to UV Completion
• Heat Transport in low-dimensional systems
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Theory of universal incoherent metallic transport
• Exact scaling functions for one-dimensional stationary KPZ growth
• Bulk viscosity of gauge theory plasma at strong coupling
• On the convergence of the gradient expansion in hydrodynamics
• A bound on the speed of sound from holography
• An upper bound on transport
• Conformal field theories at non-zero temperature: operator product expansions, Monte Carlo, and holography
• Thermal Order in Conformal Theories
• Holography and the speed of sound at high temperatures
• One-dimensional holographic superconductor from AdS_3/CFT_2 correspondence
• A Novel Formula for Bulk Viscosity from the Null Horizon Focusing Equation
• Lectures on black holes and the AdS_3 / CFT_2 correspondence
• A relation between screening masses and real-time rates
• $T\bar{T}$-deformed conformal field theories out of equilibrium
• Hydrodynamics of R-charged D1-branes