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The random percolation model can be viewed as the dual of a well definedconfining gauge theory; since this theory, having no Monte Carlo dynamics atall, is simple to simulate, it is possible to study the properties of the fluxtube with very high precision; we show it can be described by the effectivestring picture. Our results are lattice regularisation independent, thereforethey are well defined also in the continuum limit, and, for the first time in agauge theory, it has been possible to determine the next-to-leading quantumcorrections throughout the computation of the T^6 coefficient of the Taylorexpansion of sigma(T). Furthermore, this coefficient results to be related tothe universal ratio T_c/\sqrt{sigma_0}.

Confining string beyond the free approximation: the case of random percolation