Abstract
We find a novel confinement mechanism in the two-flavor dense quark matter proposed recently, that consists of the 2SC condensates and the P-wave diquark condensates of d-quarks. This quark matter exhibiting color superconductivity as well as superfluidity is classified into two phases; confined and deconfined phases of vortices. We establish that the criterion of the confinement is color neutrality of Aharonov-Bohm (AB) phases: vortices exhibiting color non-singlet AB phases are confined by the so-called AB defects to form color-singlet bound states. In the deconfined phase, the most stable vortices are non-Abelian Alice strings, which are superfluid vortices with fractional circulation and non-Abelian color magnetic fluxes therein, exhibiting color non-singlet AB phases. On the other hand, in the confined phase, these non-Abelian vortices are confined to either a baryonic or mesonic bound state in which constituent vortices are connected by AB defects. The baryonic bound state consists of three non-Abelian Alice strings with different color magnetic fluxes with the total flux canceled out connected by a domain wall junction, while the mesonic bound state consists of two non-Abelian Alice strings with the same color magnetic fluxes connected by a single domain wall. Interestingly, the latter contains a color magnetic flux in its core, but this can exist because of color neutrality of its AB phase.
Highlights
Color confinement is one of the most challenging unsolved problems in modern high energy physics
The baryonic bound state consists of three non-Abelian Alice strings with different color magnetic fluxes with the total flux canceled out connected by a domain wall junction, while the mesonic bound state consists of two non-Abelian Alice strings with the same color magnetic fluxes connected by a single domain wall
The baryonic bound state consists of three non-Abelian Alice strings with different color magnetic fluxes with the total flux canceled out, which are connected by a domain wall junction
Summary
Color confinement is one of the most challenging unsolved problems in modern high energy physics. In the CFL phase, Abelian superfluid vortices exist as the topologically stable configuration due to the nontrivial homotopy group π1[U(1)B] = Z [57, 58] This is unstable against a decay into a triad of more stable vortices [59,60,61], which are non-Abelian vortices with color magnetic fluxes and fractional circulation of the Abelian vortices [56, 59, 62,63,64]. We show that in the confined phase, these non-Abelian vortices are confined to either a baryonic or mesonic bound state in which constituent vortices are connected by AB defects [19,20,21] that appear to compensate nontrivial color non-singlet (generalized) AB phases of the 2SC condensates around vortices. The mesonic bound state consists of two non-Abelian Alice strings with the same color magnetic fluxes connected by a single domain wall. In appendix B, we summarize the derivation of generalized AB phases
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.