Fluctuation and dissipation within a deformed holographic model with backreaction

• Main Authors: Nathan G. Caldeira, Eduardo Folco Capossoli, Carlos A.D. Zarro, Henrique Boschi-Filho
• Format: Article
• Language: English
• Published: Elsevier 2021-04-01
• Series: Physics Letters B
• Online Access: http://www.sciencedirect.com/science/article/pii/S0370269321000800

In this work we study the fluctuation and dissipation of a string attached to a brane in a deformed and backreacted AdS-Schwarzschild spacetime. This space is a solution of Einstein-dilaton equations and contains a conformal exponential factor exp⁡(k/r2) in the metric. We consider the backreaction contributions coming only from the exponential warp factor on the AdS-Schwarzschild black hole, where the string and brane are in the probe approximation. Within this Lorentz invariant holographic model we have computed the admittance, the diffusion coefficient, the two-point functions and the regularized mean square displacement sreg2. From this quantity we obtain the diffuse and ballistic regimes characteristic of the Brownian motion. From the two-point functions and the admittance, we also have checked the well know fluctuation-dissipation theorem in this set up.