Title of Paper:Weyl corrections to diffusion and chaos in holography

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Date of Publication:2018-04-20

Journal:JOURNAL OF HIGH ENERGY PHYSICS

Included Journals:SCIE

Issue:4

ISSN No.:1029-8479

Key Words:Holography and condensed matter physics (AdS/CMT); AdS-CFT Correspondence

Abstract:Using holographic methods in the Einstein-Maxwell-dilaton-axion (EMDA) theory, it was conjectured that the thermal diffusion in a strongly coupled metal without quasi-particles saturates an universal lower bound that is associated with the chaotic property of the system at infrared (IR) fixed points [1]. In this paper, we investigate the thermal transport and quantum chaos in the EMDA theory with a small Weyl coupling term. It is found that the Weyl coupling correct the thermal diffusion constant D-Q and butterfly velocity v(B) in different ways, hence resulting in a modified relation between the two at IR fixed points. Unlike that in the EMDA case, our results show that the ratio D-Q/(v(B)(2)tau(L)) always contains a non-universal Weyl correction which depends also on the bulk fields as long as the U(1) current is marginally relevant in the IR.