https://doi.org/10.1140/epjc/s10052-018-5903-0
Regular Article - Theoretical Physics
A Classical String in Lifshitz–Vaidya Geometry
1
Department of Physics, Shahid Beheshti University G.C., Evin, Tehran, 19839, Iran
2
School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran
* e-mail: m_aliakbari@sbu.ac.ir
Received:
6
December
2017
Accepted:
17
May
2018
Published online:
28
May
2018
We study the time evolution of the expectation value of a rectangular Wilson loop in strongly anisotropic time-dependent plasma using gauge-gravity duality. The corresponding gravity theory is given by describing time evolution of a classical string in the Lifshitz–Vaidya background. We show that the expectation value of the Wilson loop oscillates about the value of the static potential with the same parameters after the energy injection is over. We discuss how the amplitude and frequency of the oscillation depend on the parameters of the theory. In particular, for the transverse case, by raising the anisotropy parameter, we observe that the amplitude and frequency of the oscillation increase. In the longitudinal case, although the amplitude of the oscillation increases for larger values of anisotropy parameter, the frequency is independent of anisotropy parameter.
© The Author(s), 2018
