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Statistical correlations in a two-component Coulomb gas on a circle.

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<mark>Journal publication date</mark>22/08/2008
<mark>Journal</mark>Journal of Physics A: Mathematical and Theoretical
Issue number33
Pages (from-to)332002
Publication StatusPublished
<mark>Original language</mark>English


A recent paper (Jokela et al 2008 Preprint arXiv:0806.1491) contains a surmise about an expectation value in a Coulomb gas which interacts with an additional charge ξ that sits at a fixed position. Here, I demonstrate the validity of the surmised expression and extend it to a certain class of higher cumulants. The calculation is based on the analogy to statistical averages in the circular unitary ensemble of random-matrix theory and exploits properties of orthogonal polynomials on the unit circle.