Energy Density of Vortices in the Schroedinger Picture

Abstract

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.

25 pages, 2 figures

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Cited by in corpus (7)

• Color Screening, Casimir Scaling, and Domain Structure in G(2) and SU(N) Gauge Theories
• Center vortices and Dirac eigenmodes in SU(2) lattice gauge theory
• The 't Hooft loop in the Hamiltonian approach to Yang-Mills theory in Coulomb gauge
• Fermionic Vacuum Energy from a Nielsen-Olesen Vortex
• Stable Monopole-Antimonopole String Background in SU(2) QCD
• Study of Gribov Copies in the Yang-Mills ensemble
• Renormalizability of the center-vortex free sector of Yang-Mills theory