Sphalerons at finite mixing angle
Feb, 199240 pages
Published in:
- Phys.Rev.D 46 (1992) 3587-3600
Report number:
- PRINT-92-0119 (OLDENBURG)
Citations per year
Abstract: (APS)
The classical sphaleron is constructed for the full SU(2)×U(1) electroweak theory. Unlike the sphaleron of the SU(2) Yang-Mills-Higgs theory, it is not spherically symmetric due to the coupling to the U(1) field. It is symmetric only under rotations around the z axis and parity reflections. The mixing angle θW is varied over the full range 0≤θW≤π/2. When the mixing angle is increased the energy of the sphaleron decreases, and the energy density changes its shape from a sphere at θW=0 to a very elongated spheroid at large values of the mixing angle. At the physical value of the mixing angle, however, the electroweak sphaleron differs only a little from the spherical sphaleron.- field equations: sphaleron
- gauge field theory: SU(2) x U(1)
- mixing angle
- energy: density
- dependence: gauge
- differential equations: solution
- symmetry: axial
- numerical calculations
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