Chiral Parametrization of QCD Vector Field in SU(3)

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.Comment: 17 page

Color Bosonization, Chiral Parametrization of Gluonic Field and QCD Effective Action

We develop a color bosonization approach to treatment of QCD gauge field (''gluons'') at low energies in order to derive an effective color action of QCD taking into account the quark chiral anomaly in the case of SU(2) color.. We have found that there exists such a region in the chiral sector of color space, where a gauge field coincides with of chirally rotated vector field, while an induced axial vector field disappears. In this region, the unit color vector of chiral field plays a defining role, and a gauge field is parametrized in terms of chiral parameters, so that no additional degrees of freedom are introduced by the chiral field. A QCD gauge field decomposition in color bosonization is a sum of a chirally rotated gauge field and an induced axial-vector field expressed in terms of gluonic variables. An induced axial-vector field defines the chiral color anomaly and an effective color action of QCD. This action admits existence of a gauge invariant d=2 condensate of induced axial-vector field and mass.Comment: 13 pages, LaTe

Colour chiral solitons in low energy QCD

We derive an effective colour chiral action with a background gauge field. The action describes configurations of soliton-skyrmion type. Kinetic term constant $f_0^2$, analogue of $f_\pi ^2$, is a phenomenological dimensional parameter of the model; $d=4$ terms are unique up to the choice of background gauge field. The case of SU(2) colour group is discussed in detail. We study an isolated configuration, i.e. a configuration in a background field which is the vacuum field forming the gluon condensate. Thereby we introduce the condensate energy as a second parameter and scale. Compared with the case of flavor skyrmion configuration, the colour chiral action contains a piece with slowly decreasing terms coming from the background vacuum field. Asymptotic behaviour at large distances shows exponential decrease for the case of chromomagnetic condensates and periodic otherwise . This defines a stability region for a colour soliton. The mass is given by the positive definite integrand for a soliton of purely bosonization origin. Contribution from the Yang-Mills action of the background colour field has the sign opposite to bosonization part. The baryon number current is not influenced by the background field and leads to the standard baryon number $B=N_F/N_C$ . For $B=1/3$ we evaluated the estimate from above $M\approx 460$ $Mev$ .Comment: 12 pages, Latex, Discussion of the confining potential between colour solitons and journal reference are adde

Theoretical Aspects for Development of Political Planning System in Modern Russia

The article analyses theoretical aspects for organizing and development of political planning system and its basic components for effective functioning in modern Russia