Chiral Parametrization of QCD Vector Field in SU(3)

Details Chiral Parametrization of QCD Vector Field in SU(3) Chiral Parametrization of QCD Vector Field in SU(3)

2008-09-10

arxiv.org/abs/0809.1781v1

Mod.Phys.Lett.A23:3285-3297,2008

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

10.1142/S0217732308028685

The chiral parametrization of gluons in SU(3) QCD is proposed extending an approach developed earlier for SU(2) case. A color chiral field is introduced, gluons are chirally rotated, and vector component of rotated gluons is defined on condition that no new color variables appeared with the chiral field. This condition associates such a vector component with SU(3)/U(2) coset plus an U(2) field. The topological action in SU(3) QCD is derived. It is expressed in terms of axial vector component of rotated gluons. The vector field in CP^2 sector is studied in new variables of chiral parametrization.

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