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A global anomaly from the Z-string | | F. R. Klinkhamer
; C. Rupp
; | | Date: |
3 Feb 1997 | | Journal: | Nucl.Phys. B495 (1997) 172-194 | | Subject: | hep-th hep-ph | | 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. | | Source: | arXiv, hep-th/9702023 | | Services: | Forum | Review | PDF | Favorites | |
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