Deconfinement transition as black hole formation by the condensation of QCD strings

Masanori Hanada, Jonathan Maltz, and Leonard Susskind
Phys. Rev. D 90, 105019 – Published 14 November 2014

Abstract

We argue that the deconfinement transition of large-N Yang-Mills theory is the condensation of very long and self-intersecting chromo-electric flux strings (QCD string), which is analogous to the formation of a black hole in string theory. We do this by using lattice gauge theory and matrix models. As evidence, we derive an analytic formula for the deconfinement temperature in the strong coupling limit and confirm it numerically. Dual gravity descriptions interpreted in this manner should make it possible to understand the details of the formation of black holes in terms of fundamental strings. We argue that very simple matrix models capture the essence of the formation of black holes.

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  • Received 2 June 2014

DOI:https://doi.org/10.1103/PhysRevD.90.105019

© 2014 American Physical Society

Authors & Affiliations

Masanori Hanada1,2,3, Jonathan Maltz4, and Leonard Susskind1

  • 1Stanford Institute for Theoretical Physics, Stanford University, Stanford California 94305, USA
  • 2Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan
  • 3The Hakubi Center for Advanced Research, Kyoto University, Yoshida-Ushinomiya-cho, Sakyo-ku, Kyoto 606-8501, Japan
  • 4Kavli Institute for the Physics and Mathematics of the Universe, Todai Institutes for Advanced Study, The University of Tokyo, Kashiwa, Chiba 277-8582, Japan

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Issue

Vol. 90, Iss. 10 — 15 November 2014

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