Diffusion and chaos from near AdS₂ horizons

Journal Article · 03 February 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP02(2017)013 · OSTI ID:1367165

Blake, Mike ^[1]; Donos, Aristomenis ^[2]

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1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Center for Theoretical Physics; Massachusetts Institute of Technology
2. Durham Univ. (United Kingdom). Center for Particle Theory and Department of Mathematical Sciences

We calculate the thermal diffusivity D = $$\kappa/c_\rho$$ and butterfy velocity $$\upsilon_\beta$$ in holographic models that flow to $$AdS_2$$ x $R^d$ fixed points in the infra-red. We show that both these quantities are governed by the same irrelevant deformation of $$AdS_2$$ and hence establish a simple relationship between them. When this deformation corresponds to a universal dilaton mode of dimension $$\Delta$$ = 2 then this relationship is always given by D = $$\upsilon_B^2$$/(2$$\pi$$T).

• Research Organization: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• Grant/Contract Number: SC0012567
• OSTI ID: 1367165
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2017; ISSN 1029-8479
• Publisher: Springer BerlinCopyright Statement
• Country of Publication: United States
• Language: English