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Short-distance expansion of correlation functions in the charge-symmetric two-dimensional two-component plasma: Exact results

Gabriel Tellez
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Abstract

We determine exactly the short-distance leading behavior of the density correlation functions of a two-dimensional two-component charge-symmetric Coulomb gas composed of point particles, in the whole regime of stability where the coulombic coupling $β<2$. More generally, we compute the short-distance behavior of the effective interaction potential between two external arbitrary charges $Q_1$ and $Q_2$ immersed in the plasma, for $β|Q_1|<2$ and $β|Q_2|<2$. We also find the short-distance asymptotics of the density profiles near a single external charge $Q$ immersed in the plasma for $β|Q|<2$.

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Gabriel Tellez. 2005-08-18. Short-distance expansion of correlation functions in the charge-symmetric two-dimensional two-component plasma: Exact results. https://doi.org/10.1088/1742-5468%2F2005%2F10%2Fp10001

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