Mayer Expansions for Euclidean Lattice Field Theory: Convergence Properties and Relation with Perturbation Theory

摘要

The author describes the Mayer expansion in Euclidean lattice field theory by comparing it with the statistical mechanics of polymer systems. In this connection he discusses the Borel summability and the analyticity of the activities on the lattice. Furthermore the relations between renormalization and the Mayer expansion are considered. (ERA citation 11:024597)