Constructing quantum kinks by differential geometry and statistical mechanics

We construct the kink sector of the Φ42 quantum field theory, in the broken-symmetry phase, using Euclidean methods. The construction exhibits relations with differential geometry and statistical mechanics. In particular we prove that the Euclidean Green's functions of kinks are obtained by integration over section distributions of nontrivial bundles and are well defined as Jaffe ultradistributions