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PreprintCC0arXiv

Exact spin form factors and correlations at a massive Kramers-Wannier interface

  • Zoltan Bajnok
  • Yizhuang Liu
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Abstract

We determine exact finite-volume spin form factors and two-point correlations for a massive Kramer--Wannier interface in the scaling Ising model, separating ordered and disordered phases. The interface admits two complementary lattice realizations: a self-dual inhomogeneous Ising chain whose continuum limit has a sign-changing Majorana mass profile, and, after exchanging Euclidean space and time, a mixed thermal average amenable to Toeplitz/Fredholm methods. Combining these descriptions, we obtain the exact Neveu-Schwarz-Ramond spin matrix elements and a factorized Fredholm determinant for the interface correlator. Defect TCSA and independent fermionic spin-chain calculations confirm the predicted spectrum and matrix elements.

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Cite

BibTeXRIS
BibTeX
@misc{bajnok2026exact,
  title = {{Exact spin form factors and correlations at a massive Kramers-Wannier interface}},
  author = {Zoltan Bajnok and Yizhuang Liu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.07612},
  eprint = {2609.07612},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.07612},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - Exact spin form factors and correlations at a massive Kramers-Wannier interface
AU  - Zoltan Bajnok
AU  - Yizhuang Liu
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2609.07612
UR  - https://arxiv.org/abs/2609.07612
AB  - We determine exact finite-volume spin form factors and two-point correlations for a massive Kramer--Wannier interface in the scaling Ising model, separating ordered and disordered phases. The interface admits two complementary lattice realizations: a self-dual inhomogeneous Ising chain whose continuum limit has a sign-changing Majorana mass profile, and, after exchanging Euclidean space and time, a mixed thermal average amenable to Toeplitz/Fredholm methods. Combining these descriptions, we obtain the exact Neveu-Schwarz-Ramond spin matrix elements and a factorized Fredholm determinant for the interface correlator. Defect TCSA and independent fermionic spin-chain calculations confirm the predicted spectrum and matrix elements.
ER  -