Eur. Phys. J. C (2018) 78: 967
https://doi.org/10.1140/epjc/s10052-018-6456-y

Regular Article - Theoretical Physics

Complexity growth and shock wave geometry in AdS-Maxwell-power-Yang–Mills theory

Faculty of Physics, Semnan University, Semnan, 35131-19111, Iran

^* e-mail: hghafarnejad@semnan.ac.ir

Received: 15 June 2018
Accepted: 14 November 2018
Published online: 23 November 2018

Abstract

We study effects of non-abelian gauge fields on the holographic characteristics for instance the evolution of computational complexity. To do so we choose Maxwell-power-Yang–Mills theory defined in the AdS space-time. Then we seek the impact of charge of the YM field on the complexity growth rate by using conjecture. We also investigate the spreading of perturbations near the horizon and the complexity growth rate in local shock wave geometry in presence of the YM charge. At last we check validity regime of Lloyd bound.