A global anomaly from the Z-string

Preprint

4 February 1997

preprint
Published by arXiv in arXiv

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.

Keywords

GLOBAL ANOMALY
EIGENVALUES
MILLS HIGGS
FERMIONS
Z STRING
HANDED

All Related Versions

Version 1, 1997-02-03, ArXiv
Version 2, 1997-02-04, ArXiv
Version 3, 1997-02-08, ArXiv
Version 4, 1997-02-21, ArXiv
Version 5, 1997-03-22, ArXiv
Published version: Nuclear Physics B, 495 (1-2), 172.

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