All order effective action for charge diffusion from Schwinger-Keldysh holography
| Autor: | Tuna Demircik, Michael Lublinsky, Yanyan Bu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Nuclear Theory Transport coefficient FOS: Physical sciences Thermal fluctuations QC770-798 AdS-CFT Correspondence 01 natural sciences Gauge-gravity correspondence Nuclear Theory (nucl-th) symbols.namesake High Energy Physics - Phenomenology (hep-ph) Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences Black brane Holography and quark-gluon plasmas Diffusion (business) 010306 general physics Effective action Physics 010308 nuclear & particles physics Charge (physics) Holography and condensed matter physics (AdS/CMT) AdS/CFT correspondence High Energy Physics - Phenomenology High Energy Physics - Theory (hep-th) Maxwell's equations Quantum electrodynamics symbols |
| Zdroj: | Journal of High Energy Physics, Vol 2021, Iss 5, Pp 1-54 (2021) Journal of High Energy Physics |
| Popis: | An effective action for diffusion of a conserved $U(1)$ charge is derived to all orders in the derivative expansion within a holographic model dual to the Schwinger-Keldysh closed time path. A systematic approach to solution of the 5D Maxwell equations in a doubled Schwarzschild-AdS$_5$ black brane geometry is developed. Constitutive relation for the stochastic charge current is shown to have a term induced by thermal fluctuations (coloured noise). All transport coefficient functions parameterising the effective action and constitutive relations are computed analytically in the hydrodynamic expansion, and then numerically for finite momenta. v1: 59 pages, 11 multi-figures; v2: 53 pages in JHEP style, refs added, one appendix added, revised the partially off-shell procedure based on bulk path integral |
| Databáze: | OpenAIRE |
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