The role of infrared divergence for decoherence

  title={The role of infrared divergence for decoherence},
  author={Joachim Kupsch},
  journal={Journal of Mathematical Physics},
  • J. Kupsch
  • Published 10 November 1999
  • Physics
  • Journal of Mathematical Physics
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 can only emerge 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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