Journal of Statistical Physics, Vol. 68, Nos. 5/6, 1992. p. 1105-1125.
The effects of quenched disorder on the two-dimensional Coulomb gas are studied in the hierarchical approximation. The quenched random variables interact with the charges via a potential that decays as an inverse power (a) of the distance. Recursion relations for the single block charge activities are derived in which the quenched variables explicitly appear...