Phase transitions of dense hadronic matter in an extended Skyrme model onS3

Abstract

We study the characteristics of the QCD phase transitions in dense hadronic matter using the Skyrme model constructed on S 3 . We find numerically the localized solutions on S 3 using the extended Skyrme model which implements correctly the scale symmetry of QCD. The transition from the localized phase to the delocalized phase is found to be of first order at the critical radius of the hypersphere, L c . The chiral restoration and the gluon decondensation also take place at the same critical size.

A comment on chiral restoration at finite baryon density in hyperspherical unit cells

“…For more recent work on Skyrmions in hyperspherical cells see Ref. [13]. An interesting appearance of S 3 cells in the context of holographic QCD [14] is related to instantons on S 3 [15] which generate approximate Skyrmion solutions by means of the Atiyah-Manton map [16].…”