Abstract
We construct a holographic dual of the Schwinger-Keldysh effective action for the dissipative low-energy dynamics of relativistic charged matter at strong coupling in a fixed thermal background. To do so, we use a mixed signature bulk spacetime whereby an eternal asymptotically anti-de Sitter black hole is glued to its Euclidean counterpart along an initial time slice in a way to match the desired double-time contour of the dual field theory. Our results are consistent with existing literature and can be regarded as a fully-ab initio derivation of a Schwinger-Keldysh effective action. In addition, we provide a simple infrared effective action for the near horizon region that drives all the dissipation and can be viewed as an alternative to the membrane paradigm approximation.
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ArXiv ePrint: 1812.06093
On leave from: National Centre for Nuclear Research, 00-681 Warsaw, Poland. (Michal P. Heller)
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de Boer, J., Heller, M.P. & Pinzani-Fokeeva, N. Holographic Schwinger-Keldysh effective field theories. J. High Energ. Phys. 2019, 188 (2019). https://doi.org/10.1007/JHEP05(2019)188
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DOI: https://doi.org/10.1007/JHEP05(2019)188