Renormalization Flow of Bound States

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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25 pages, 3 figures, v2: minor corrections, version to appear in PRD

Scientific paper

10.1103/PhysRevD.65.065001

A renormalization group flow equation with a scale-dependent transformation of field variables gives a unified description of fundamental and composite degrees of freedom. In the context of the effective average action, we study the renormalization flow of scalar bound states which are formed out of fundamental fermions. We use the gauged Nambu--Jona-Lasinio model at weak gauge coupling as an example. Thereby, the notions of bound state or fundamental particle become scale dependent, being classified by the fixed-point structure of the flow of effective couplings.

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