Level Crossing for Hot Sphalerons

Details Level Crossing for Hot Sphalerons Level Crossing for Hot Sphalerons

1994-01-24

arxiv.org/abs/hep-lat/9401028v1

Nucl.Phys. B425 (1994) 39-66

Physics

High Energy Physics

High Energy Physics - Lattice

Latex file, 29 pages + 13 figures

Scientific paper

10.1016/0550-3213(94)90172-4

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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