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Phys. Rev. D 65, 065001 (2002) [15 pages]

Renormalization flow of bound states

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Holger Gies*
CERN, Theory Division, CH-1211 Geneva 23, Switzerland

Christof Wetterich
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany

Received 1 August 2001; published 5 February 2002

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 a bound state or fundamental particle become scale dependent, being classified by the fixed-point structure of the flow of effective couplings.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.065001
DOI:
10.1103/PhysRevD.65.065001
PACS:
11.10.Hi

*Email address: Holger.Gies@cern.ch

Email address: C.Wetterich@thphys.uni-heidelberg.de