Non-equilibrium Wilson loops in N=4 SYM
High Energy Physics - Theory
2013-11-25 v2
Abstract
We consider rectangular Wilson loops in certain non-equilibrium quantum states in N=4 SYM at weak coupling, prepared with a quantum quench. We find that in the ladder approximation, the Bethe-Salpeter equation can be reduced to solving a massive 1+1 dimensional wave-equation with a leaking boundary condition leading to a quasinormal behavior analogous to what is found in studying dynamics of fields in black hole backrounds. Furthermore, we find that the Wilson loops with size L approach a thermal form after time T=L/2. The thermal form found in the current paper follows from the particular initial state chosen.
Keywords
Cite
@article{arxiv.1211.5087,
title = {Non-equilibrium Wilson loops in N=4 SYM},
author = {Ville Keranen},
journal= {arXiv preprint arXiv:1211.5087},
year = {2013}
}
Comments
24 pages, 7 figures. Parts of the text rewritten. Section 5 has been expanded. Agrees with the published version