Positivity conditions on correlation functions that imply Debye screening

In the classical statistical mechanics setting, a set of positivity conditions on certain two‐point correlation functions is exhibited that implies Debye screening for a large class of Coulomb‐like models. For example, for the model treated by Brydges, for which he has rigorously proved shielding, in a range of parameters where 〈ϕs(x) J (y) 〉⩾ 0 for all x and y and all s odd, there is screening. (Alternative conditions require positivity for only two correlation functions.) Strong estimates are obtained for the rate of exponential falloff.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/69413/2/JMAPAQ-20-6-1090-1.pd