Translation-invariance of two-dimensional Gibbsian point processes
arXiv:0706.3637 · doi:10.1007/s00220-007-0274-7
Abstract
The conservation of translation as a symmetry in two-dimensional systems with interaction is a classical subject of statistical mechanics. Here we establish such a result for Gibbsian particle systems with two-body interaction, where the interesting cases of singular, hard-core and discontinuous interaction are included. We start with the special case of pure hard core repulsion in order to show how to treat hard cores in general.
44 pages, 6 figures