On the possible dynamical realization of the Pauli-Villars regularization

The problem of free-particle scattering on virtual wormholes is considered. It is shown that, for all types of relativistic fields, this scattering leads to the appearance of additional very heavy particles, which play the role of auxiliary fields in the invariant scheme of Pauli-Villars regularization. A nonlinear correction that describes the back reaction of particles to the vacuum distribution of virtual wormholes is also obtained.