The Fermion Determinant in External Scalar Fields: Exact Results and Large Mass Approximation
High Energy Physics - Phenomenology
2009-10-28 v1 High Energy Physics - Theory
Abstract
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 becomes larger than the inverse of the size of the background field configuration. The results are given for 2, 3 and 4 Euclidean dimensions.
Keywords
Cite
@article{arxiv.hep-ph/9403271,
title = {The Fermion Determinant in External Scalar Fields: Exact Results and Large Mass Approximation},
author = {J. Baacke and H. So and A. Suerig},
journal= {arXiv preprint arXiv:hep-ph/9403271},
year = {2009}
}
Comments
Dortmund University DO-TH-94/04, 16 pages, LaTeX, macros: epsfig.sty 7 figures appended as uuencoded, tar-compressed .eps files