Asymptotic expansion of the log-partition function for a gas of interacting Brownian loops

摘要

The asymptotic behavior of the logarithm of the grand partition function of a quantum gas in the Feynman-Kac representation is studied. Under suitable restrictions on the stable pair potential the log-partition function is expanded at low activity as the domain is dilated to the infinity. The volume and the boundary terms are given explicitly as functional integrals. The proof is based on the cluster expansion method. (c) 2007 American Institute of Physics.