TL;DR
This paper introduces an exact renormalization group flow formalism for describing bound state formation in quantum field theories, providing exact solutions in a nonrelativistic case and a framework for more general applications.
Contribution
It develops a novel formalism for bound states using exact flow equations, applicable to both nonrelativistic and relativistic quantum field theories.
Findings
Exact solutions for nonrelativistic case
General formalism applicable to relativistic theories
Discussion of approximation schemes for solutions
Abstract
We develop a formalism to describe the formation of bound states in quantum field theory using an exact renormalization group flow equation. As a concrete example we investigate a nonrelativistic field theory with instantaneous interaction where the flow equations can be solved exactly. However, the formalism is more general and can be applied to relativistic field theories, as well. We also discuss expansion schemes that can be used to find approximate solutions of the flow equations including the essential momentum dependence.
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