Energy Density of Vortices in the Schroedinger Picture

Details Energy Density of Vortices in the Schroedinger Picture Energy Density of Vortices in the Schroedinger Picture

2003-01-31

arxiv.org/abs/hep-th/0301252v1

Phys.Rev. D68 (2003) 025001

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 2 figures

Scientific paper

10.1103/PhysRevD.68.025001

The one-loop energy density of an infinitely thin static magnetic vortex in SU(2) Yang-Mills theory is evaluated using the Schroedinger picture. Both the gluonic fluctuations as well as the quarks in the vortex background are included. The energy density of the magnetic vortex is discussed as a function of the magnetic flux. The center vortices correspond to local minima in the effective potential. These minima are degenerated with the perturbative vacuum if the fermions are ignored. Inclusion of fermions lifts this degeneracy, raising the vortex energy above the energy of the perturbative vacuum.

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