Asymptotic behavior of Toeplitz determinants with delta function singularities

@article{Maric2020AsymptoticBO,
  title={Asymptotic behavior of Toeplitz determinants with delta function singularities},
  author={Vanja Mari'c and F. Franchini},
  journal={arXiv: Mathematical Physics},
  year={2020}
}
We find the asymptotic behaviors of Toeplitz determinants with symbols which are a sum of two contributions: one analytical and non-zero function in an annulus around the unit circle, and the other proportional to a Dirac delta function. The formulas are found by using the Wiener-Hopf procedure. The determinants of this type are found in computing the spin-correlation functions in low-lying excited states of some integrable models, where the delta function represents a peak at the momentum of… Expand
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