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.
20 pages, 14 figures. Published version
References in corpus (10)
- Complexity and Shock Wave Geometries
- Quantum Computation as Geometry
- Gravitational action with null boundaries
- Diving into a holographic superconductor
- Complexity for Charged Thermofield Double States
- Stiff phases in strongly coupled gauge theories with holographic duals
- 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
- What kind of "complexity" is dual to holographic complexity?