Infinite Volume Limit for Correlation functions in the Dipole Gas

Tuan Minh Le

Published 2013-05-08, updated 2013-07-12Version 2

We study a classical lattice dipole gas with low activity in dimension $d \geq 3$. We investigate long distance properties by a renormalization group analysis. We prove that various correlation functions have an infinite volume limit. We also get estimates on the decay of correlation functions.