4 research outputs found
Stable Monopole-Antimonopole String Background in SU(2) QCD
Motivated by the instability of the Savvidy-Nielsen-Olesen vacuum we make a
systematic search for a stable magnetic background in pure SU(2) QCD. It is
shown that a pair of axially symmetric monopole and antimonopole strings is
stable, provided that the distance between the two strings is less than a
critical value. The existence of a stable monopole-antimonopole string
background strongly supports that a magnetic condensation of
monopole-antimonopole pairs can generate a dynamical symmetry breaking, and
thus the magnetic confinement of color in QCD.Comment: 7 page
Knot soliton in Weinberg-Salam model
We study numerically the topological knot solution suggested recently in the
Weinberg-Salam model. Applying the SU(2) gauge invariant Abelian projection we
demonstrate that the restricted part of the Weinberg-Salam Lagrangian
containing the interaction of the neutral boson with the Higgs scalar can be
reduced to the Ginzburg-Landau model with the hidden SU(2) symmetry. The energy
of the knot composed from the neutral boson and Higgs field has been evaluated
by using the variational method with a modified Ward ansatz. The obtained
numerical value is 39 Tev which provides the upper bound on the electroweak
knot energy.Comment: 6 pages, 3 figures, analysis of stability adde
Color Reflection Invariance and Monopole Condensation in QCD
We review the quantum instability of the Savvidy-Nielsen-Olesen (SNO) vacuum
of the one-loop effective action of SU(2) QCD, and point out a critical defect
in the calculation of the functional determinant of the gluon loop in the SNO
effective action. We prove that the gauge invariance, in particular the color
reflection invariance, exclude the unstable tachyonic modes from the gluon loop
integral. This guarantees the stability of the magnetic condensation in QCD.Comment: 28 pages, 3 figures, JHEP styl