Spectral and scattering theory for space-cutoff $P(\phi {)}_2$ models with variable metric

Christian Gérard, Annalisa Panati

We consider space-cutoff $P(\phi {)}_2$ models with a variable metric of the form \[ H= \d\G(ω)+ \int_{\rr}g(x):P(x, φ(x)):\d x, \] on the bosonic Fock space $L^{2}(\rr)$, where the ki…