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Renormalization Flow of Bound States

2001/07/31 by Holger Gies, Christof Wetterich · 2 citations
Physics and Astronomy · #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.65.065001

published as Phys.Rev. D65 (2002) 065001 · 25 pages, 3 figures, v2: minor corrections, version to appear in PRD

arxiv created 2001/11/15 · arxiv updated 2009/11/30

Abstract

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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