Yang-Mills Cosmologies and Collapsing Gravitational Sphalerons

Details Yang-Mills Cosmologies and Collapsing Gravitational Sphalerons Yang-Mills Cosmologies and Collapsing Gravitational Sphalerons

1993-11-17

arxiv.org/abs/hep-th/9311098v1

Phys.Lett.B320:245-252,1994

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, harvmac, DAMTP93/R32

Scientific paper

10.1016/0370-2693(94)90652-1

Cosmological solutions with a homogeneous Yang-Mills field which oscillates and passes between topologically distinct vacua are discussed. These solutions are used to model the collapsing Bartnik-McKinnon gravitational sphaleron and the associated anomalous production of fermions. The Dirac equation is analyzed in these backgrounds. It is shown explicitly that a fermion energy level crosses from the negative to positive energy spectrum as the gauge field evolves between the topologically distinct vacua. The cosmological solutions are also generalized to include an axion field.

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