Work

Insensitivity of the complexity rate of change to the conformal anomaly and Lloyd’s bound as a possible renormalization condition

Year: 2021

Type: article

Abstract: We determine the effect on the computational complexity of a conformal anomaly using the $\mathrm{complexity}=\text{action}$ 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 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 show that, if so desired, the saturation of Lloyd's bound at infinite time can be used as a renormalization condition.

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.104.066011

Authors: Daniel Ávila, César Díaz, Leonardo Patiño, Yaithd D. Olivas

Institution: Universidad Nacional Autónoma de México

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Consejo Nacional de Ciencia y Tecnología, Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México

Award: G761040894