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Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose gas

Mathematical Physics 2011-02-23 v1 Statistical Mechanics High Energy Physics - Theory math.MP

Abstract

We apply the theorems from the theory of Toeplitz determinants to calculate the asymptotics of various correlators including the exponential ones in the inpenetrable one-dimensional Bose gas system. The known correlators in the free-fermion system are also used to test the generalized Fisher-Hartwig conjecture.

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Cite

@article{arxiv.0811.0346,
  title  = {Fisher-Hartwig conjecture and the correlators in the inpenetrable Bose gas},
  author = {A. A. Ovchinnikov},
  journal= {arXiv preprint arXiv:0811.0346},
  year   = {2011}
}

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