Hidden horizons in non-relativistic AdS/CFT

Cynthia Keeler, Gino Knodel, James T. Liu

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Abstract: We study boundary Green’s functions for spacetimes with non-relativistic scaling symmetry. For this class of backgrounds, scalar modes with large transverse momentum, or equivalently low frequency, have an exponentially suppressed imprint on the boundary. We investigate the effect of these modes on holographic two-point functions. We find that the boundary Green’s function is generically insensitive to horizon features on small transverse length scales. We explicitly demonstrate this insensitivity for Lifshitz z =2, and then use the WKB approximation to generalize our findings to Lifshitz z >1 and RG flows with a Lifshitz-like region. We also comment on the analogous situation in Schrödinger spacetimes. Finally, we exhibit the analytic properties of the Green’s function in these spacetimes.

Original languageEnglish (US)
Article number24
JournalJournal of High Energy Physics
Volume2014
Issue number8
DOIs
StatePublished - Jan 1 2014
Externally publishedYes

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horizon
Green's functions
Wentzel-Kramer-Brillouin method
transverse momentum
scalars
low frequencies
scaling
sensitivity
symmetry

Keywords

  • AdS-CFT Correspondence
  • Gauge-gravity correspondence
  • Holography and condensed matter physics (AdS/CMT)

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Hidden horizons in non-relativistic AdS/CFT. / Keeler, Cynthia; Knodel, Gino; Liu, James T.

In: Journal of High Energy Physics, Vol. 2014, No. 8, 24, 01.01.2014.

Research output: Contribution to journalArticle

Keeler, Cynthia ; Knodel, Gino ; Liu, James T. / Hidden horizons in non-relativistic AdS/CFT. In: Journal of High Energy Physics. 2014 ; Vol. 2014, No. 8.
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