  We analyse the statistical physics of a two dimensional lattice based gas
with long range interactions. The particles interact in a way analogous to
Queens on a chess board. The long range nature of the interaction gives the
mathematics of the problem a simple geometric structure which simplifies both
the analytic and numerical study of the system. We present some analytic
calculations for the statics of the problem and also we perform Monte Carlo
simulations which exhibit a dynamical transition between a high temperature
liquid regime and a low temperature glassy regime exhibiting aging in the two
time correlation functions.
