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Universal and nonuniversal pole-skipping points

Abstract

We study the pole-skipping phenomenon for a holographic superfluid/superconductor near the critical point using dual analytic Green's functions (arXiv:2605.20415 [hep-th]). (1) There is a hydrodynamic pole-skipping point that is common to all Green's functions: this point was obtained from the near-horizon analysis previously. (2) In addition, if one examines each Green's functions, the Green's functions have additional pole-skipping points. Unlike the conventional pole-skipping points, they do not satisfy the universality, i.e., they are not located at ω=−(2πT)ni, where n is an integer. (3) We also point out that a pole-skipping does not necessary implies an ambiguity of a Green's function.

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BibTeX
@misc{natsuume2026universal,
  title = {{Universal and nonuniversal pole-skipping points}},
  author = {Makoto Natsuume},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31752},
  eprint = {2610.31752},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31752},
}
RIS
TY  - UNPB
TI  - Universal and nonuniversal pole-skipping points
AU  - Makoto Natsuume
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31752
UR  - https://arxiv.org/abs/2610.31752
AB  - We study the pole-skipping phenomenon for a holographic superfluid/superconductor near the critical point using dual analytic Green's functions (arXiv:2605.20415 [hep-th]). (1) There is a hydrodynamic pole-skipping point that is common to all Green's functions: this point was obtained from the near-horizon analysis previously. (2) In addition, if one examines each Green's functions, the Green's functions have additional pole-skipping points. Unlike the conventional pole-skipping points, they do not satisfy the universality, i.e., they are not located at ω=−(2πT)ni, where n is an integer. (3) We also point out that a pole-skipping does not necessary implies an ambiguity of a Green's function.
ER  -