Some Explicit Results for the Generalized Emptiness Formation Probability of the Six-Vertex Model
- 作者: Kitaev A.1, Pronko A.1
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隶属关系:
- St.Petersburg Department of Steklov Institute of Mathematics
- 期: 卷 238, 编号 6 (2019)
- 页面: 870-882
- 栏目: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/242613
- DOI: https://doi.org/10.1007/s10958-019-04282-1
- ID: 242613
如何引用文章
详细
We study a multi-point correlation function of the six-vertex model on the square lattice with domain wall boundary conditions which is called the generalized emptiness formation probability. This function describes the probability of observing ferroelectric order around all vertices of any Ferrers diagram λ at the top left corner of the lattice. For the free fermion model, we derive and compare explicit formulas for this correlation function in two cases: when the diagram λ has a square or a triangular shape. We find a connection between our formulas and the τ-function of the sixth Painlevé equation. Bibliography: 25 titles.
作者简介
A. Kitaev
St.Petersburg Department of Steklov Institute of Mathematics
编辑信件的主要联系方式.
Email: kitaev@pdmi.ras.ru
俄罗斯联邦, St.Petersburg
A. Pronko
St.Petersburg Department of Steklov Institute of Mathematics
Email: kitaev@pdmi.ras.ru
俄罗斯联邦, St.Petersburg