Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-03-11
Z.Phys. C63 (1994) 689-696
Physics
High Energy Physics
High Energy Physics - Phenomenology
Dortmund University DO-TH-94/04, 16 pages, LaTeX, macros: epsfig.sty 7 figures appended as uuencoded, tar-compressed .eps file
Scientific paper
10.1007/BF01557636
We present results for the fermion determinant in an external Yukawa-coupled scalar field, a quantity relevant to instanton and sphaleron transition rates as well as bubble nucleation occuring in the electroweak phase transition when the scalar field is identified with the Higgs field. We calculate the determinant exactly and find an approximation (essentialy of the gradient expansion type) that reproduces the exact results very well if the fermion mass $m_F$ becomes larger than the inverse of the size $R$ of the background field configuration. The results are given for 2, 3 and 4 Euclidean dimensions.
Baacke Juergen
So Hiroto
Suerig A.
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