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PreprintCC BY 4.0arXiv

Migdal-Eliashberg and SUS-Y2-SYK

  • D. V. Khveshchenko
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Abstract

This note addresses a number of subtle issues pertaining to the long-standing problem of strong phonon-like fermion-boson coupling. Among the central topics are the customary Migdal-Eliashberg approximation in the pertinent Schwinger-Dyson gap equation and its solutions. The previously gained insight is assessed by contrasting it against the various (non-)supersymmetric variants of the Yukawa-Sachdev-Ye-Kitaev model. Also, some previously discussed (pseudo-)holographic aspects of fermion pairing in such models are commented upon.

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Cite

BibTeXRIS
BibTeX
@misc{khveshchenko2026migdaleliashberg,
  title = {{Migdal-Eliashberg and SUS-$Y^2$-SYK}},
  author = {D. V. Khveshchenko},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.31540},
  eprint = {2605.31540},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.31540},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Migdal-Eliashberg and SUS-Y^2-SYK
AU  - D. V. Khveshchenko
PY  - 2026
DA  - 2026/10/07
PB  - arXiv
DO  - 10.48550/arxiv.2605.31540
UR  - https://arxiv.org/abs/2605.31540
AB  - This note addresses a number of subtle issues pertaining to the long-standing problem of strong phonon-like fermion-boson coupling. Among the central topics are the customary Migdal-Eliashberg approximation in the pertinent Schwinger-Dyson gap equation and its solutions. The previously gained insight is assessed by contrasting it against the various (non-)supersymmetric variants of the Yukawa-Sachdev-Ye-Kitaev model. Also, some previously discussed (pseudo-)holographic aspects of fermion pairing in such models are commented upon.
ER  -