Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 59 min ago
PreprintCC BY 4.0arXiv

BKT transition for Sineβ

  • Theodoros Assiotis
Open at sourcePDFDOICite

Abstract

We prove the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the large-distance behaviour of the two-point correlation function of the Sineβ point process for all β>0, confirming the first term of an asymptotic expansion predicted by Forrester.

Related

  1. Form factors of field exponentials in the 1+1 dimensional Sine-Gordon model
    Karol K Kozlowski, Alex Simon
    HALPreprintLicence not statedMathematical physicsGeneral physicsHAL
  2. Shifted log-sine integrals and multiple zeta values
    Henrik Bachmann
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  3. Wronskian representations of the solutions to the sine-Gordon equation
    Pierre Gaillard
    HALPreprintCC BY-NC-ND 4.0Full textGeneral mathematicsStatistical & nonlinear physicsHAL
  4. Uniqueness for DLR equations of Sineβ
    Theodoros Assiotis
    arXivPreprintCC BY 4.0Full textMathematical physicsProbabilityarXiv
  5. Approximating the poles of a Painlevé V transcendent for the Fredholm determinant of the sine kernel
    Walter Van Assche
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv

Cite

BibTeXRIS
BibTeX
@misc{assiotis2026transition,
  title = {{BKT transition for $\mathsfSine_β$}},
  author = {Theodoros Assiotis},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.13484},
  eprint = {2610.13484},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.13484},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - BKT transition for Sine_β
AU  - Theodoros Assiotis
PY  - 2026
DA  - 2026/10/09
PB  - arXiv
DO  - 10.48550/arxiv.2610.13484
UR  - https://arxiv.org/abs/2610.13484
AB  - We prove the Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the large-distance behaviour of the two-point correlation function of the Sine_β point process for all β>0, confirming the first term of an asymptotic expansion predicted by Forrester.
ER  -