A Modified Domb-Joyce Model in Four Dimensions
1996, v.2, Issue 3, 369-400
In this paper we discuss the asymptotic behaviour of some modified Domb-Joyce models in four dimensions, in which some weighted terms are removed from the original Domb-Joyce model. We prove that these modified models are tight, and in some special cases they are weakly convergent to the Wiener measure in $R^4$.
Keywords: Polymer measure,Wiener measure,Domb-Joyce model,intersections of random walks