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arXiv · 2011.07039

Fermionic Open EFT from Holography

R. Loganayagam·Krishnendu Ray·Akhil Sivakumar
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Abstract

In this work we initiate the study of open effective field theories of fermions interacting with holographic baths. As a first step in this direction, we explain how the recently identified holographic Schwinger-Keldysh saddles naturally reproduce the Fermi-Dirac statistics of boundary correlators. We study Dirac fermions propagating in the background of a doubled $AdS_{d+1}$ Schwarzchild blackbrane. We solve for both ingoing (quasi-normal) as well as outgoing (Hawking) modes of the Dirac field in a boundary gradient expansion and compare our findings against exact results in $d=2$. The holographic Schwinger-Keldysh boundary conditions automatically select a unique combination of these modes consistent with fermionic KMS relations. Evaluating the bulk on-shell action using these solutions, we obtain an explicit expression for the influence phase of the probe fermion in a gradient expansion.

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R. Loganayagam, Krishnendu Ray, Akhil Sivakumar. 2020-11-13. Fermionic Open EFT from Holography. https://arxiv.org/abs/2011.07039

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