Exact flow equation for bound states

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.

22 pages, references added, published version

References in corpus (6)

• Exact evolution equation for the effective potential
• Exact flow equation for composite operators
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Efimov effect from functional renormalization
• Three-body scattering from nonperturbative flow equations
• Functional renormalisation group for two-body scattering

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• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
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