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Holographic thermalization with initial long range correlation

2015/11/30 by Shu Lin
Mathematics · Physics and Astronomy · #Algorithm #Computational physics #Dark Matter and Cosmic Phenomena #Geodesic #Holography #Materials science #Mathematical analysis #Mathematical physics #Mathematics #Mode (computer interface) #Momentum (technical analysis) #Physics #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Radiation #Range (aeronautics) #Spectroscopy and Quantum Chemical Studies #State (computer science) #Statistical physics #Thermalisation #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.93.026007

published as Phys. Rev. D 93, 026007 (2016) · 24 pages, 6 figures

openalex publication_date 2016/01/19 · arxiv created 2016/02/12 · arxiv updated 2016/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We studied the evolution of the Wightman correlator in a thermalizing state modeled by AdS3-Vaidya background. We gave a prescription for calculating the Wightman correlator in coordinate space without using any approximation. For equal-time correlator ⟨O(v,x)O(v,0)⟩, we obtained an enhancement factor v2 due to long range correlation present in the initial state. This was missed by previous studies based on geodesic approximation. We found that the long range correlation in initial state does not lead to significant modification to thermalization time as compared to known results with generic initial state. We also studied the spatially integrated Wightman correlator and showed evidence on the distinction between long distance and small momentum physics for an out-of-equilibrium state. We also calculated the radiation spectrum of particles weakly coupled to O and found that lower frequency mode approaches thermal spectrum faster than high frequency mode.

Citations