String Perturbation Theory on the Schwinger-Keldysh Time Contour. (arXiv:2009.03940v3 [hep-th] UPDATED)
<a href="http://arxiv.org/find/hep-th/1/au:+Horava_P/0/1/0/all/0/1">Petr Horava</a>, <a href="http://arxiv.org/find/hep-th/1/au:+Mogni_C/0/1/0/all/0/1">Christopher J. Mogni</a>
We perform the large-$N$ expansion in the Schwinger-Keldysh formulation of
non-equilibrium quantum systems with matrix degrees of freedom, and study
universal features of the anticipated dual string theory. We find a rich
refinement of the topological genus expansion: In the original formulation, the
future time instant where the forward and backward branches of the
Schwinger-Keldysh time contour meet is associated with its own worldsheet genus
expansion. After the Keldysh rotation, the worldsheets decompose into a
classical and quantum part.
We perform the large-$N$ expansion in the Schwinger-Keldysh formulation of
non-equilibrium quantum systems with matrix degrees of freedom, and study
universal features of the anticipated dual string theory. We find a rich
refinement of the topological genus expansion: In the original formulation, the
future time instant where the forward and backward branches of the
Schwinger-Keldysh time contour meet is associated with its own worldsheet genus
expansion. After the Keldysh rotation, the worldsheets decompose into a
classical and quantum part.
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