- Abstract:
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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 analogous to the celebrated Tracy–Widom result connecting the Airy kernel with Painlevé II. The asymptotic power law of the exact solution as a function of a single scaling variable x/√t agrees with ...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's version
- Files:
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(pdf, 591.9kb)
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- Publisher copy:
- 10.21468/SciPostPhys.2.1.005
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- Publisher:
- SciPost Foundation Publisher's website
- Journal:
- SciPost Physics Journal website
- Volume:
- 2
- Issue:
- 1
- Pages:
- 005
- Publication date:
- 2017-02-21
- Acceptance date:
- 2017-02-13
- DOI:
- ISSN:
-
2542-4653
- Pubs id:
-
pubs:843694
- URN:
-
uri:adb6f362-44ab-4550-aad0-45ed048db540
- UUID:
-
uuid:adb6f362-44ab-4550-aad0-45ed048db540
- Local pid:
- pubs:843694
- Copyright holder:
- Price et al
- Copyright date:
- 2017
- Notes:
- Copyright T. Price et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
Journal article
Nonlinear Luttinger liquid: Exact result for the Green function in terms of the fourth Painlevé transcendent
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