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arXiv · hep-th/9702023

A global anomaly from the Z-string

F. R. Klinkhamer·C. Rupp
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Abstract

The response of isodoublet fermions to classical backgrounds of essentially 2-dimensional boson fields in SU(2) Yang-Mills-Higgs theory is investigated. In particular, the spectral flow of Dirac eigenvalues is calculated for a non-contractible sphere of configurations passing through the vacuum and the Z-string (the embedded vortex solution). Also, a non-vanishing Berry phase is established for adiabatic transport "around" the Z-string. These results imply the existence of a new type of global (non-perturbative) gauge anomaly in SU(2) Yang-Mills-Higgs quantum field theory with a single doublet of left-handed fermions. Possible extensions to other chiral gauge field theories are also discussed.

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F. R. Klinkhamer, C. Rupp. 1997-04-16. A global anomaly from the Z-string. https://doi.org/10.1016/s0550-3213(97)00206-x

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