L. Samaj et al., AN INVARIANT STRUCTURE OF THE MULTIPARTICLE CORRELATIONS OF THE 2-DIMENSIONAL ONE-COMPONENT PLASMA, Journal of physics. A, mathematical and general, 31(18), 1998, pp. 4149-4166
The model under consideration is that of a two-dimensional one-compone
nt plasma confined to the surface of a sphere. In the canonical format
, the system is mapped onto a discrete one-dimensional anticommuting-f
ield theory. A unitary transformation of anticommuting variables is re
vealed to generate a correlation hierarchy, truncated rigorously at ea
ch hierarchical level. In the thermodynamic limit of the fluid regime,
this truncation provides a specific invariant structure of multi-part
icle densities of the plasma formulated on an infinite plane.