QNEC2 in deformed holographic CFTs
arXiv:2007.10367 · doi:10.1007/JHEP03(2021)213
Abstract
We use the quantum null energy condition in strongly coupled two-dimensional field theories (QNEC2) as diagnostic tool to study a variety of phase structures, including crossover, second and first order phase transitions. We find a universal QNEC2 constraint for first order phase transitions with kinked entanglement entropy and discuss in general the relation between the QNEC2-inequality and monotonicity of the Casini-Huerta c-function. We then focus on a specific example, the holographic dual of which is modelled by three-dimensional Einstein gravity plus a massive scalar field with one free parameter in the self-interaction potential. We study translation invariant stationary states dual to domain walls and black branes. Depending on the value of the free parameter we find crossover, second and first order phase transitions between such states, and the c-function either flows to zero or to a finite value in the infrared. Strikingly, evaluating QNEC2 for ground state solutions allows to predict the existence of phase transitions at finite temperature.
arXiv comment55pp, 18 figs; v2: added reference; v3: major revision: added clarifying remarks, corrected critical exponent in section 4, and added table 1 with data showing the universality of the critical exponent (4.6)
References in corpus (32)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Building an AdS/CFT superconductor
- Geometric and Renormalized Entropy in Conformal Field Theory
- Effective Holographic Theories for low-temperature condensed matter systems
- Holographic duality from random tensor networks
- Entanglement as a Probe of Confinement
- A finite entanglement entropy and the c-theorem
- A simple holographic model of momentum relaxation
- A Quantum Focussing Conjecture
- A refinement of entanglement entropy and the number of degrees of freedom
- Three-dimensional quantum geometry and black holes
- Generalized Holographic Quantum Criticality at Finite Density
- Comments on Holographic Entanglement Entropy and RG Flows
- Entwinement and the emergence of spacetime
- A c-theorem for the entanglement entropy
- A General Proof of the Quantum Null Energy Condition
- Time evolution of entanglement entropy from a pulse
- Strongly Coupled Gauge Theories: High and Low Temperature Behavior of Non-local Observables
- Exotic RG Flows from Holography
- Thermodynamics, transport and relaxation in non-conformal theories
- Lectures on Gravity and Entanglement
- Phase Transitions, Inhomogeneous Horizons and Second-Order Hydrodynamics
- Quasinormal modes and the phase structure of strongly coupled matter
- Real-Time dynamics and phase separation in a holographic first order phase transition
- Quantum Null Energy Condition and its (non)saturation in 2d CFTs
- Local quantum energy conditions in non-Lorentz-invariant quantum field theories
- Dynamics of Phase Separation from Holography
- Crossing a large- phase transition at finite volume
- Excitation Entanglement Entropy in 2d Conformal Field Theories
- Saturation of the Quantum Null Energy Condition in Far-From-Equilibrium Systems
- Bulk Matter and the Boundary Quantum Null Energy Condition
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- Thermalization and Hydrodynamics of Two-Dimensional Quantum Field Theories
- Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
- Universal thermalization dynamics in (1+1)d QFTs
- Disorder in AdS/CFT