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Operator-theoretic renormalization group analysis of infraparticle states and spectrum in non-relativistic QEDMathematical Physics & Probability
|Speaker: ||Thomas Chen, Courant Institute, New York|
|Location: ||693 Kerr|
|Start time: ||Tue, May 21 2002, 3:10PM|
We consider the translation-invariant system in R^3 consisting of
a freely propagating, non-relativistic, charged particle
that interacts with the quantized, ultraviolet regularized electromagnetic
field. By use of the operator-theoretic renormalization group method
due to Bach, Froehlich and Sigal, we construct the infraparticle state
for an associated infrared regularized model at fixed conserved total
momentum $p$, which converges to an element of some non-Fock infrared
representation Hilbert space under removal of the infrared regularization.
Moreover, we prove bounds on the renormalized effective mass of the
infraparticle that are uniform with respect to the infrared regularization.
All of these results hold for sufficiently small values of |p|
and the coupling constant g.