DC conductivities with momentum dissipation in Horndeski theories

Journal Article · Mon Jul 17 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP07(2017)084 · OSTI ID:1393390

Jiang, Wei-Jian ^[1]; Liu, Hai-Shan ^[2]; Lü, H. ^[3]; Pope, C. N. ^[4]

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1. Zhejiang Univ., Hangzhou (China). Zhejiang Institute of Modern Physics and Ningbo Institute of Technology; Texas A&M University, College Station, TX
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

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.

• Research Organization: Texas A&M University, College Station, TX (United States)
• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0010813; SC0010813
• OSTI ID: 1393390
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2017; ISSN 1029-8479
• Publisher: Springer BerlinCopyright Statement
• Country of Publication: United States
• Language: English