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Title: DC conductivities with momentum dissipation in Horndeski theories

In this paper, we consider two four-dimensional Horndeski-type gravity theories with scalar fields that give rise to solutions with momentum dissipation in the dual boundary theories. Firstly, we study Einstein-Maxwell theory with a Horndeski axion term and two additional free axions which are responsible for momentum dissipation. We construct static electrically charged AdS planar black hole solutions in this theory and calculate analytically the holographic DC conductivity of the dual field theory. We then generalize the results to include magnetic charge in the black hole solution. Secondly, we analyze Einstein-Maxwell theory with two Horndeski axions which are used for momentum dissipation. We obtain AdS planar black hole solutions in the theory and we calculate the holographic DC conductivity of the dual field theory. The theory has a critical point α+γΛ = 0, beyond which the kinetic terms of the Horndeski axions become ghost-like. The conductivity as a function of temperature behaves qualitatively like that of a conductor below the critical point, becoming semiconductor-like at the critical point. Beyond the critical point, the ghost-like nature of the Horndeski fields is associated with the onset of unphysical singular or negative conductivities. Some further generalisations of the above theories are considered also.
Authors:
 [1] ;  [2] ;  [3] ;  [4]
  1. Zhejiang Univ., Hangzhou (China). Zhejiang Institute of Modern Physics and Ningbo Institute of Technology
  2. Zhejiang Univ., Hangzhou (China). Institute for Advanced Physics & Mathematics; Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy
  3. Beijing Normal University (China). Department of Physics
  4. Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Institute for Fundamental Physics and Astronomy; Cambridge University (United Kingdom). DAMTP, Centre for Mathematical Sciences
Publication Date:
Grant/Contract Number:
FG02-13ER42020; SC0010813
Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Research Org:
Texas A & M Univ., College Station, TX (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Gauge-gravity correspondence; Holography and condensed matter physics (AdS/CMT)
OSTI Identifier:
1393390