Holographic approach to thermalization in general anisotropic theories
Abstract
We employ the holographic approach to study the thermalization in the quenched strongly-coupled field theories with very general anisotropic scalings including Lifshitz and hyperscaling violating fixed points. The holographic dual is a Vaidya-like time-dependent geometry where the asymptotic metric has general anisotropic scaling isometries. We find the Ryu-Takanayagi extremal surface and use it to calculate the time-dependent entanglement entropy between a strip region with width 2R and its outside region. In the special case with an isotropic metric, we also explore the entanglement entropy for a spherical region of radius R. The growth of the entanglement entropy characterizes the thermalization rate after a quench. We study the thermalization process in the early times and late times in both large R and small R limits. The allowed scaling parameter regions are constrained by the null energy conditions as well as the condition for the existence of the Ryu-Takanayagi extremal surfaces. This generalizes the previous works on this subject. All obtained results can be compared with experiments and other methods of probing thermalization.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- March 2021
- DOI:
- 10.1007/JHEP03(2021)164
- arXiv:
- arXiv:2011.02716
- Bibcode:
- 2021JHEP...03..164S
- Keywords:
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- AdS-CFT Correspondence;
- Gauge-gravity correspondence;
- Holography and quark-gluon plasmas;
- Holography and condensed matter physics (AdS/CMT);
- High Energy Physics - Theory
- E-Print:
- The published version