Wilsonian Matching of Effective Field Theory with Underlying QCD

Abstract

We propose a novel way of matching effective field theory with the underlying QCD in the sense of a Wilsonian renormalization group equation (RGE). We derive Wilsonian matching conditions between current correlators obtained by the operator product expansion in QCD and those by the hidden local symmetry (HLS) model. This determines without much ambiguity the bare parameters of the HLS at the cutoff scale in terms of the QCD parameters. Physical quantities for the pi and rho system are calculated by the Wilsonian RGE's from the bare parameters in remarkable agreement with the experiment.

13 pages, 4 figures, Minor corrections. This is the version to appear in Physical Review D

References in corpus (3)

• Vector Manifestation of the Chiral Symmetry
• Conformal Phase Transition and Fate of the Hidden Local Symmetry in Large N_f QCD
• Quantum Chromodynamics with Many Flavors

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