Weyl symmetric structure of QCD vacuum

Details Weyl symmetric structure of QCD vacuum Weyl symmetric structure of QCD vacuum

2012-04-26

arxiv.org/abs/1204.5970v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

We consider Weyl symmetric structure of the classical vacuum in quantum chromodynamics. In the framework of formalism of gauge invariant Abelian projection we show that classical vacuums can be constructed in terms of Killing vector fields on the group SU(3). Consequently, homotopic classes of Killing vector fields determine the topological structure of the vacuum. In particular, the second homotopy group \pi_2(SU(3)/U(1)\times U(1)) describes all topologically non-equivalent vacuums which are classified by two topological numbers. For each given Killing vector field one can construct six vacuums forming Weyl sextet representation. An interesting feature of SU(3) gauge theory is that it admits a Weyl symmetric vacuum represented by a linear superposition of the six vacuums from the Weyl vacuum sextet. A non-trivial manifestation of Weyl symmetry is demonstrated on monopole solutions. We construct a family of finite energy monopole solutions in Yang-Mills-Higgs theory which includes Weyl monopole sextet. From the analysis of the classical vacuum structure and monopole solutions we conjecture that a similar Weyl symmetric vacuum structure can be realized in quantum theory.

Affiliated with

Also associated with

No associations

Rating

Weyl symmetric structure of QCD vacuum does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Weyl symmetric structure of QCD vacuum, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weyl symmetric structure of QCD vacuum will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314818