Non-equilibrium Wilson loops in N=4 SYM
arXiv:1211.5087 · doi:10.1103/PhysRevD.88.105022
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.
24 pages, 7 figures. Parts of the text rewritten. Section 5 has been expanded. Agrees with the published version
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