Benfatto G., J.Renn
Nontrivial fixed points and screening in the hierarchical two-dimensional
Coulomb gas
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ABSTRACT. We show the existence and asymptotic stability of two fixed points of the
renormalization group transformation for the hierarchical two-dimensional
Coulomb gas in the sine-Gordon representation and temperatures slightly
greater than the critical one. We prove also that the correlations at the
fixed points decay as in the hierarchical massive scalar free field theory,
that is as the fourth power of the hierarchical distance. We argue that this is
the natural definition of screening in the hierarchical approximation.