Cosmological Sphaleron from Real Tunneling and Its Fate

Details Cosmological Sphaleron from Real Tunneling and Its Fate Cosmological Sphaleron from Real Tunneling and Its Fate

1994-07-25

arxiv.org/abs/gr-qc/9407036v2

Phys.Rev. D50 (1994) 3755-3759

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

20 pages, LaTex, article 12pt style, TIT/HEP-242/COSMO-39

Scientific paper

10.1103/PhysRevD.50.3755

We show that the cosmological sphaleron of Einstein-Yang-Mills system can be produced from real tunneling geometries. The sphaleron will tend to roll down to the vacuum or pure gauge field configuration, when the universe evolves in the Lorentzian signature region with the sphaleron and the corresponding hypersurface being the initial data for the Yang-Mills field and the universe, respectively. However, we can also show that the sphaleron, although unstable, can be regarded as a pseudo-stable solution because its lifetime is even much greater than those of the universe.

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