Abstract
We use holographic techniques to study the zero-temperature limit of dissipation for a Brownian particle moving in a strongly coupled CFT at finite temperature in various space-time dimensions. The dissipative term in the boundary theory for ω → 0, T → 0 with ω/T held small and fixed, does not match the same at T = 0, ω → 0. Thus the T → 0 limit is not smooth for ω < T. This phenomenon appears to be related to a confinement-deconfinement phase transition at T = 0 in the field theory.
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Banerjee, P., Sathiapalan, B. Zero temperature dissipation and holography. J. High Energ. Phys. 2016, 89 (2016). https://doi.org/10.1007/JHEP04(2016)089
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DOI: https://doi.org/10.1007/JHEP04(2016)089