2018/05/23 by Dimitrios Giataganas, Giataganas, Dimitrios · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #Strongly Correlated Electrons (cond-mat.str-el)
paper · pdf · doi:10.48550/arxiv.1805.09011
openalex publication_date 2018/05/23 · openalex created_date 2022/09/28 · openalex updated_date 2026/07/28
Stochastic dynamics play a central role in strongly coupled phenomena. We\npresent and review a theory independent approach in holography to study such\nphenomena. We firstly argue that the heavy quark diffusion occurs in realistic\nstrongly coupled systems. Then we analyze the quantum and thermal fluctuation,\ndissipation and the corresponding Brownian motion of a heavy particle in such\nenvironments for a wide class of theories. The holographic study is based on\nthe properties of the straight string fluctuations. The observables and\ncoefficients associated with the stochastic motion depend on a single parameter\nwhich encodes the properties of the different theories. Moreover, certain\nDp-brane fluctuations can be mapped one-to-one to the string fluctuations and\ntherefore the stochastic brane observables can be read from the string ones.\n Then we review the Langevin diffusion of a moving heavy quark in generic\nthermal holographic theories. The analysis is based on the properties of the\ntrailing string and its fluctuations. The string world-sheet has a black hole\nhorizon and the quark feels an effective temperature different than the\nenvironmental one. The formulas of the effective temperature, the drag force on\nthe particle and the Langevin coefficients are given in terms of the background\nmetric elements readily applicable to any theory. At the end we comment on the\nbackreaction effects on the medium and present results of the Monte Carlo\nsimulations.\n