An invariant structure of the multi-particle correlations of the two-dimensional one-component plasma

The model under consideration is that of a two-dimensional one-component plasma confined to the surface of a sphere. In the canonical format, the system is mapped onto a discrete one-dimensional anticommuting-field theory. A unitary transformation of anticommuting variables is revealed to generate a correlation hierarchy, truncated rigorously at each hierarchical level. In the thermodynamic limit of the fluid regime, this truncation provides a specific invariant structure of multi-particle densities of the plasma formulated on an infinite plane.