Abstract
We introduce higher-derivative Gauss-Bonnet correction terms in the gravity sector and we relate the modified gravity theory in the bulk to the strongly coupled quantum field theory on a de Sitter boundary. We study the process of holographic thermalization by examining three nonlocal observables, the two-point function, the Wilson loop and the holographic entanglement entropy. We study the time evolution of these three observables and we find that as the strength of the Gauss-Bonnet coupling is increased, the saturation time of the thermalization process to reach thermal equilibrium becomes shorter with the dominant effect given by the holographic entanglement entropy.
Highlights
The AdS/CFT correspondence has been proven to be a powerful tool in describing strongly coupled processes in quantum field theories in regimes where perturbation theory breaks down
We study the time evolution of these three observables, and we find that as the strength of the Gauss-Bonnet coupling is increased, the saturation time of the thermalization process to reach thermal equilibrium becomes shorter with the dominant effect given by the holographic entanglement entropy
It is interesting to investigate what is the influence on the description of the holographic thermalization process of the dual strongly coupled of quantum field theories living on a curved boundary, if we go beyond Einstein gravity introducing higher-derivative terms such as the Gauss-Bonnet correction in the gravity bulk
Summary
The AdS/CFT correspondence has been proven to be a powerful tool in describing strongly coupled processes in quantum field theories in regimes where perturbation theory breaks down. The authors of [35] examined the thermalization process of the dual quantum field theories in dS background by using the holographic entanglement entropy as a probe They argued that similar to flat boundary case [37,38], the whole thermalization process can be divided into a sequence of processes: pre-localequilibration quadratic growth, post-local-equilibration linear growth, memory loss and saturation. It is interesting to investigate what is the influence on the description of the holographic thermalization process of the dual strongly coupled of quantum field theories living on a curved boundary, if we go beyond Einstein gravity introducing higher-derivative terms such as the Gauss-Bonnet correction in the gravity bulk. The last section is devoted to a summary and discussions
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