Two-dimensional one-component plasma at coupling Γ=4: Numerical study of pair correlations

We consider a classical two-dimensional one-component plasma of charged particles in a circularly symmetric neutralizing background, at a coupling constant of Γ=e2/kBT=4. The numerical results, based technically on a successive increase of the number of particles and on a Van der Monde determinantal representation of Boltzmann factors, strongly indicate a Gaussian-type falloff of the truncated bulk charge-charge correlations, similarly as in the exactly solvable Γ=2 case.