Color chiral solitons

We discuss specific features of color chiral solitons (asymptotics, possibility of confainment and quantization) at an example of isolated SU(2) color skyrmions, i.e. skyrmions in a background field which is the vacuum field forming the gluon condensate. Introduction In low energy QCD the idea of flavor Skyrmions [1, 2, 4, 5] was quite fruitful. Color chiral solitons and skyrmions were studied less, although to find stable color configurations could be an important step towards understanding of diquarks and exotic hadrons. A possibility of color chiral solitons with baryon number NF/NC was mentioned in the first paper on colour bosonization [6] . However, the effective action in bosonization [6] was implicitly gauge dependent, the choice of background colour fields was not discussed, and soliton stability was not investigated. It was found [7] that direct application of an effective bosonized lagrangian [6] does not lead to stable configurations. The idea of color skyrmions from different viewpoints was explored [8, 9, 10, 11] in attempt to construct a constituent quark for NF = 1, but further development in this direction was suspended after the conclusion [12] that stable colour solitons do not exist. Recently it was shown that color solitons become stable due to background vacuum field which should always be present with isolated soliton [13, 14] In this talk we describe some specific feature of color solitons compared with flavor solitons. In QCD the flavor soliton action arises as a result of bosonization. The chiral color bosonization in QCD follows , in general, the lines of flavor bosonization [15, 16, 17, 18] . The gluon field is a dynamical gauge field, while the flavor field in the Dirac lagrangian is an external one. In order to get a chiral color action, the background field should be also chirally rotated giving an additional contribution to the standard chiral action. In flavor bosonization no such terms are present [13]. This contribution is not considered here. For a color soliton, the background field describes soliton environment and produces corresponding interaction terms in the effective chiral lagrangian. In this paper we consider a separate (free) soliton, and, therefore, take color vacuum field as a background