Sphalerons at finite mixing angle

Journal Article · Thu Oct 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.3587· OSTI ID:7200295

Kunz, J ^[1]; Kleihaus, B ^[2]; Brihaye, Y ^[3]

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1. Institute for Theoretical Physics, University of Utrecht, NL-3508 TA Utrecht (Netherlands) Fachbereich Physik, University of Oldenburg, P.O. Box 2503, D-2900 Oldenburg (Germany)
2. Fachbereich Physik, University of Oldenburg, P.O. Box 2503, D-2900 Oldenburg (Germany)
3. Department of Mathematical Physics, Mons University, Avenue Maistriau, B-7000, Mons (Belgium)

The classical sphaleron is constructed for the full SU(2){times}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 {ital z} axis and parity reflections. The mixing angle {theta}{sub {ital W}} is varied over the full range 0{le}{theta}{sub {ital W}}{le}{pi}/2. When the mixing angle is increased the energy of the sphaleron decreases, and the energy density changes its shape from a sphere at {theta}{sub {ital W}}=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.

• OSTI ID: 7200295
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:8; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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