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 backgrou nd gauge field. The case of SU(2) colour group is discussed in detail. We s tudy an isolated configuration, i.e., a configuration in a background field which is the vacuum field forming the gluon condensate. Thereby we introdu ce 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 th e case of chromomagnetic condensates and periodic otherwise. This defines a stability region for a colour soliton. The mass is given by the positive d efinite integrand for a soliton of purely bosonization origin. Contribution from the Yan-Mills. action of the background colour field has the sign opp osite to bosonization part The baryon number current is not influenced by t he background field and leads to the standard baryon number B = N-F/N-C. Fo r B = 1/3 we evaluated the estimate from above M approximate to 460 MeV. (C ) 2001 Published by Elsevier Science B.V.