Similarity flow of a neutral scalar coupled to a fixed source

Abstract

A neutral scalar meson interacting with a fixed isoscalar nucleon is evolved according to the similarity renormalization group. The fixed source ends up being too singular and an appropriately dressed static source arises from the similarity flow. The fixed source is dressed by a virtual cloud of mesons extending out past the inverse meson mass according to the Yukawa potential. For low energies the source produces a Yukawa mean field which decouples from the remaining meson field fluctuations. The renormalization group procedure for effective particles is also illustrated for this fixed-source model.