Insensitivity of the complexity rate of change to the conformal anomaly and Lloyd's bound as a possible renormalization condition
arXiv:2104.12796 · doi:10.1103/PhysRevD.104.066011
Abstract
We determine the effect on the computational complexity of a conformal anomaly using the Complexity=Action prescription of the gauge/gravity correspondence. To allow the involvement of said anomaly, we extend previous studies to include arbitrary values for the anisotropic parameter and the magnetic field respectively on the Mateos-Trancanelli and the D'Hoker-Kraus holographic models. Our main result is that the rate of change of the computational complexity is independent of the conformal anomaly in both cases. In addition, this allows us to also show that, if so desired, the saturation of Lloyd's bound at infinite time can be used as a renormalization condition.
arXiv comment20 pages, 14 figures. Published version
References in corpus (51)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- The Holographic Weyl anomaly
- A Covariant Holographic Entanglement Entropy Proposal
- Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
- Lecture Notes on Holographic Renormalization
- Ultimate physical limits to computation
- Complexity Equals Action
- Complexity and Shock Wave Geometries
- The Page curve of Hawking radiation from semiclassical geometry
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Holographic Renormalization
- Embedding AdS Black Holes in Ten and Eleven Dimensions
- Complexity, action, and black holes
- Quantum Computation as Geometry
- How to go with an RG Flow
- Thermodynamics of Asymptotically Locally AdS Spacetimes
- Gravitational action with null boundaries
- Holographic Entanglement of Purification
- Comments on Holographic Complexity
- On the Time Dependence of Holographic Complexity
- Holographic Complexity
- Complexity of Formation in Holography
- Islands outside the horizon
- Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
- The anisotropic N=4 super Yang-Mills plasma and its instabilities
- Magnetic Brane Solutions in AdS
- Holographic Complexity in Vaidya Spacetimes II
- Holographic Complexity in Vaidya Spacetimes I
- Divergences in Holographic Complexity
- Holographic Complexity of Einstein-Maxwell-Dilaton Gravity
- Complexity Growth with Lifshitz Scaling and Hyperscaling Violation
- On Complexity for Higher Derivative Gravities
- Diving into a holographic superconductor
- Far-from-equilibrium dynamics of a strongly coupled non-Abelian plasma with non-zero charge density or external magnetic field
- Holographic complexity and non-commutative gauge theory
- On the time dependence of holographic complexity in a dynamical Einstein-dilaton model
- Complexity is Simple
- Complexity for Charged Thermofield Double States
- Stiff phases in strongly coupled gauge theories with holographic duals
- Holographic complexity of anisotropic black branes
- Universal magnetoresponse in QCD and SYM
- On the Role of Counterterms in Holographic Complexity
- Chaos, Diffusivity, and Spreading of Entanglement in Magnetic Branes, and the Strengthening of the Internal Interaction
- Regularizations of Action-Complexity for a Pure BTZ Black Hole Microstate
- Holographic complexity for black branes with momentum relaxation
- Melting holographic mesons by cooling a magnetized quark gluon plasma
- Velocity Statistics in Holographic Fluids: Magnetized Quark-Gluon Plasma and Superfluid Flow
- Increase of the Energy Necessary to Probe Ultraviolet Theories Due to the Presence of a Strong Magnetic Field
- What kind of "complexity" is dual to holographic complexity?