The role of infrared divergence for decoherence
arXiv:math-ph/9911015 · doi:10.1063/1.1287642
Abstract
Continuous and discrete superselection rules induced by the interaction with the environment are investigated for a class of exactly soluble Hamiltonian models. The environment is given by a Boson field. Stable superselection sectors emerge if and only if the low frequences dominate and the ground state of the Boson field disappears due to infrared divergence. The models allow uniform estimates of all transition matrix elements between different superselection sectors.
11 pages, extended and simplified proof