Wilsonian Matching of Effective Field Theory with Underlying QCD

Details Wilsonian Matching of Effective Field Theory with Underlying QCD Wilsonian Matching of Effective Field Theory with Underlying QCD

2000-09-14

arxiv.org/abs/hep-ph/0009163v3

Phys.Rev. D64 (2001) 014023

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.64.014023

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.

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