Physics – Mathematical Physics
Scientific paper
2004-02-19
Physics
Mathematical Physics
One reference added; minor corrections in App. B2
Scientific paper
Superselection rules induced by the interaction with a mass zero Boson field are investigated for a class of exactly soluble Hamiltonian models. The calculations apply as well to discrete as to continuous superselection rules. The initial state (reference state) of the Boson field is either a normal state or a KMS state. The superselection sectors emerge if and only if the Boson field is infrared divergent, i. e. the bare photon number diverges and the ground state of the Boson field disappears in the continuum. The time scale of the decoherence depends on the strength of the infrared contributions of the interaction and on properties of the initial state of the Boson system. These results are first derived for a Hamiltonian with conservation laws. But in the most general case the Hamiltonian includes an additional scattering potential, and the only conserved quantity is the energy of the total system. The superselection sectors remain stable against the perturbation by the scattering processes.
No associations
LandOfFree
Superselection rules induced by infrared divergence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Superselection rules induced by infrared divergence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Superselection rules induced by infrared divergence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-214159