Renormalization group and bound states

TL;DR

This paper explores how the renormalization group approach links the low-energy effective coupling constants in asymptotically free Hamiltonians to the existence of bound states, emphasizing the role of interaction inclusion in the equations.

Contribution

It clarifies the connection between renormalization group procedures and the formation of bound states in asymptotically free systems.

Findings

Effective coupling constants are related to bound state existence.

The inclusion of interactions in RG equations influences low-energy behavior.

Low-energy behavior depends on how binding interactions are incorporated.

Abstract

Renormalization group procedure suggests that the low-energy behavior of effective coupling constant in asymptotically free Hamiltonians is connected with the existence of bound states and depends on how the interactions responsible for the binding are included in the renormalization group equations.