Translation-invariance of two-dimensional Gibbsian point processes

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

References in corpus (1)

• 2D models of statistical physics with continuous symmetry: the case of singular interactions

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