The role of infrared divergence for decoherence

Details The role of infrared divergence for decoherence The role of infrared divergence for decoherence

1999-11-10

arxiv.org/abs/math-ph/9911015v3

J.Math.Phys. 41 (2000) 5945-5953

Physics

Mathematical Physics

11 pages, extended and simplified proof

Scientific paper

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.

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