Nonlinear Luttinger liquid: Exact result for the Green function in terms of the fourth Painlevé transcendent
We show that exact time dependent single particle Green function in the Imambekov–Glazman theory of nonlinear Luttinger liquids can be written, for any value of the Luttinger parameter, in terms of a particular solution of the Painlevé IV equation. Our expression for the Green function has a form an...
| Main Authors: | , , |
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| Format: | Journal article |
| Published: |
SciPost Foundation
2017
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