Chiral Parametrization of QCD Vector Field in SU(3)
Victor Novozhilov, Yuri Novozhilov
TL;DR
This paper extends the chiral parametrization approach from SU(2) to SU(3) QCD, introducing a color chiral field, defining a vector component of rotated gluons, and deriving the topological action in this framework.
Contribution
It proposes a novel SU(3) chiral parametrization of gluons, generalizing previous SU(2) methods, and derives the associated topological action.
Findings
Derived the topological action in SU(3) QCD using chiral parametrization.
Defined a vector component of rotated gluons linked to SU(3)/U(2) coset.
Analyzed the vector field in the CP^2 sector with new variables.
Abstract
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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