### Abstract

The potential between a heavy quark and an antiquark inside the quark-gluon plasma is studied on the basis of the gauge-gravity duality. A real-time complex potential V_{QQ̄}(t,r) is derived from the Wilson loop, which is evaluated by its gravity dual in the Euclidean five-dimensional anti-de Sitter black hole metric. To make the analytic continuation from the imaginary time to the real time, specific variational configurations of the string world sheet in the Euclidean metric are introduced. A rapid approach of V _{QQ̄}(t,r) to its stationary value is found at the time scale t (πT)^{-1}, and the imaginary part of V_{QQ̄}(r) becomes significant above the length scale r=1.72(πT)^{-}1. Also, these scales are independent of the 't Hooft coupling λ. Implications of these results to the properties of heavy quarkonia in quark-gluon plasma are briefly discussed.

Original language | English |
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Article number | 101901 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 87 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2013 May 7 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*87*(10), [101901]. https://doi.org/10.1103/PhysRevD.87.101901