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- W2040417804 abstract "Due to the presence of the chiral anomaly sphalerons with Chern-Simons number a half (CS=1/2) are the only static configurations that allow for a fermion level crossing in the two-dimensional Abelian-Higgs model with massless fermions, i.e. in the absence of Yukawa interactions. In the presence of fermion-Higgs interactions we demonstrate the existence of zero energy solutions to the one-dimensional Dirac equation at deformed sphalerons with CS$neq 1/2 .$ Induced level crossing due to Yukawa interactions illustrates a non-trivial generalization of the Atiyah-Patodi-Singer index theorem and of the equivalence between parity anomaly in odd and the chiral anomaly in even dimensions. We discuss a subtle manifestation of this effect in the standard electroweak theory at finite temperatures." @default.
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- W2040417804 date "1994-06-07" @default.
- W2040417804 modified "2023-09-25" @default.
- W2040417804 title "ON SPHALERON DEFORMATIONS INDUCED BY YUKAWA INTERACTIONS" @default.
- W2040417804 doi "https://doi.org/10.1142/s0217732394001374" @default.
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