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arXiv · hep-lat/9401028

Level Crossing for Hot Sphalerons

J. Ambjorn·K. Farakos·S. Hands·G. Koutsoumbas·G. Thorleifsson
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Abstract

We study the spectrum of the Dirac Hamiltonian in the presence of high temperature sphaleron-like fluctuations of the electroweak gauge and Higgs fields, relevant for the conditions prevailing in the early universe. The fluctuations are created by numerical lattice simulations. It is shown that a change in Chern-Simons number by one unit is accompanied by eigenvalues crossing zero and a change of sign of the generalized chirality $\tGf= (-1)^{2T+1} \gf$ which labels these modes. This provides further evidence that the sphaleron-like configurations observed in lattice simulations may be viewed as representing continuum configurations.

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J. Ambjorn, K. Farakos, S. Hands, G. Koutsoumbas, G. Thorleifsson. 1994-01-24. Level Crossing for Hot Sphalerons. https://doi.org/10.1016/0550-3213(94)90172-4

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