Weyl corrections to diffusion and chaos in holography

• Published in: The journal of high energy physics Vol. 2018; no. 4; pp. 1 - 24
• Main Authors: Li, Wei-Jia, Liu, Peng, Wu, Jian-Pin
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2018; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Chaos theory; Classical and Quantum Gravitation; Coupling; Dilatons; Elementary Particles; High energy physics; Holography; Holography and condensed matter physics (AdS/CMT); Lower bounds; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Thermal diffusion; AdS-CFT Correspondence; Holography and condensed matter physics (AdS/CMT)
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP04(2018)115

A bstract 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 τ 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.