Monday, January 14, 2013

1301.2358 (W. De Roeck et al.)

Propagation bounds and soft photon bounds for the massless spin-boson

W. De Roeck, A. Kupiainen
We consider generalized versions of the massless spin-boson model. We prove detailed bounds on the number of bosons in certain spatial regions (propagation bounds) and on the number of bosons with low momentum (soft photon bounds). This work is an extension of our earlier work in 'Approach to ground state and time-independent photon bound for massless spin-boson models' (arXiv:1109.5582, Ann. H. Poincare, 2012). Together with the results in arXiv:1109.5582, the bounds of the present paper suffice to prove asymptotic completeness, as we describe in a joint submission to arXiv: 'Asymptotic completeness for the massless spin-boson model'.
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