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arXiv · 1812.06093

Holographic Schwinger-Keldysh effective field theories

Jan de Boer·Michal P. Heller·Natalia Pinzani-Fokeeva
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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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Jan de Boer, Michal P. Heller, Natalia Pinzani-Fokeeva. 2018-12-14. Holographic Schwinger-Keldysh effective field theories. https://doi.org/10.1007/jhep05(2019)188

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