Exact flow equation for bound states

Details Exact flow equation for bound states Exact flow equation for bound states

2010-01-25

arxiv.org/abs/1001.4497v2

Eur. Phys. J. C 69, 119 (2010)

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, references added, published version

Scientific paper

10.1140/epjc/s10052-010-1361-z

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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