2021/04/30 by Nathan G. Caldeira, Eduardo Folco Capossoli, C. A. D. Zarro +2
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Dilaton #Dissipation #Horizon #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum mechanics #Space (punctuation) #String (physics) #cond-mat.stat-mech #cond-mat.str-el #hep-th
paper · pdf · doi:10.1140/epjc/s10052-021-09963-3
published as The European Physical Journal C 82:16 (2022) · V2: 33 pages, 7 figures. Title changed. Abstract changed. Text improved. New references included. Typos corrected. Results unchanged. This version matches the published one in EPJC
openalex publication_date 2022/01/01 · arxiv created 2022/01/11 · arxiv updated 2022/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract In this work we study fluctuations and dissipation of a string in a deformed anti-de Sitter (AdS) space at finite temperature and density. The deformed AdS space is a charged black hole solution of the Einstein–Maxwell–Dilaton action. In this background we take into account the backreaction on the horizon function from an exponential deformation of the AdS space. From this model we compute the admittance and study the influence of the temperature and the chemical potential on it. We calculate the two-point correlations functions, and the mean square displacement for bosonic and fermionic cases, from which we obtain the short and large time approximations. For the long time, we obtain a sub-diffusive regime ∼ log t <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>∼</mml:mo> <mml:mo>log</mml:mo> <mml:mi>t</mml:mi> </mml:mrow> </mml:math> . Combining the results from the admittance and the correlations functions we check the fluctuation-dissipation theorem for bosonic and fermionic systems.