1301.6542 (Stefan Floerchinger)

Few-body hierarchy in non-relativistic quantum field theory and a
decoupling theorem    [PDF]

Stefan Floerchinger

For non-relativistic quantum field theory with instantaneous interaction it is proven to all orders in perturbation theory as well as non-perturbatively that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are governed by a hierarchical structure. This hierarchy allows to solve the equations in the n-body sector without knowledge or assumptions about the m-body sectors where m>n.

View original: http://arxiv.org/abs/1301.6542