Renormalization flow of bound states

Jul, 2001
25 pages
Published in:
  • Phys.Rev.D 65 (2002) 065001
e-Print:
Report number:
  • CERN-TH-2001-196,
  • HD-THEP-01-31

Citations per year

20012007201320192025051015
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.
Note:
  • 25 pages, 3 figures, v2: minor corrections, version to appear in PRD Report-no: CERN-TH/2001-196, HD-THEP-01-31
  • 11.10.Hi
  • bound state: scalar
  • renormalization group: fixed point
  • effective action
  • Jona-Lasinio-Nambu model
  • weak coupling: gauge
  • transformation: nonlinear
  • scaling: dependence
  • bosonization
  • four-fermion interaction