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 DQ and butterfly velocity vB 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 DQ/(v 2 B τL) 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.
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Li, WJ., Liu, P. & Wu, JP. Weyl corrections to diffusion and chaos in holography. J. High Energ. Phys. 2018, 115 (2018). https://doi.org/10.1007/JHEP04(2018)115
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DOI: https://doi.org/10.1007/JHEP04(2018)115