Hagedorn Instability in Dimensionally Reduced Large-N Gauge Theories as Gregory-Laflamme and Rayleigh-Plateau Instabilities

Takehiro Azuma, Takeshi Morita, and Shingo Takeuchi
Phys. Rev. Lett. 113, 091603 – Published 27 August 2014

Abstract

It is expected that the Gregory-Laflamme (GL) instability in the black string in gravity is related to the Rayleigh-Plateau instability in fluid mechanics. Especially, the orders of the phase transitions associated with these instabilities depend on the number of the transverse space dimensions, and they are of first and second order below and above the critical dimension. Through the gauge-gravity correspondence, the GL instability is conjectured to be thermodynamically related to the Hagedorn instability in large-N gauge theories, and it leads to a prediction that the order of the confinement-deconfinement transition associated with the Hagedorn instability may depend on the transverse dimension. We test this conjecture in the D-dimensional bosonic D0-brane model using numerical simulation and the 1/D expansion, and confirm the expected D dependence.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 10 April 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.091603

© 2014 American Physical Society

Authors & Affiliations

Takehiro Azuma1,*, Takeshi Morita2,†, and Shingo Takeuchi3,‡,§

  • 1Setsunan University, 17-8 Ikeda Nakamachi, Osaka 572-8508, Japan
  • 2Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506, USA
  • 3Shanghai Jiao Tong University, Shanghai 200240, China

  • *azuma@mpg.setsunan.ac.jp
  • tmorita@post.kek.jp
  • shingo@nu.ac.th
  • §Present address: The Institute for Fundamental Study Naresuan University, Phitsanulok 65000, Thailand.

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 113, Iss. 9 — 29 August 2014

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×