One-loop fermionic corrections to the instanton transition in two dimensional chiral Higgs model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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36 pages, 5 figures

Scientific paper

10.1103/PhysRevD.72.065011

The one-loop fermionic contribution to the probability of an instanton transition with fermion number violation is calculated in the chiral Abelian Higgs model in 1+1 dimensions, where the fermions have a Yukawa coupling to the scalar field. The dependence of the determinant on fermionic, scalar and vector mass is determined. We show in detail how to renormalize the fermionic determinant in partial wave analysis, which is convenient for computations.

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