Riemann-Hilbert approach to a generalised sine kernel
Mathematical Physics
2019-05-14 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
We derive the large distance asymptotics of the Fredholm determinant of the so-called generalised sine kernel at the critical point. This kernel corresponds to a generalisation of the pure sine kernel arising in the theory of random matrices and has potential applications to the analysis of the large-distance asymptotic behaviour of the so-called emptiness formation probability for various quantum integrable models away from their free fermion point.
Cite
@article{arxiv.1905.04907,
title = {Riemann-Hilbert approach to a generalised sine kernel},
author = {R. Gharakhloo and A. R. Its and K. K. Kozlowski},
journal= {arXiv preprint arXiv:1905.04907},
year = {2019}
}
Comments
23 pages