Global anomalies in chiral lattice gauge theory
Jun, 19996 pages
Published in:
- Nucl.Phys.B Proc.Suppl. 83 (2000) 594-599
Contribution to:
e-Print:
- hep-lat/9909081 [hep-lat]
Report number:
- DESY-99-137
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Abstract:
As first realized by Witten an SU(2) gauge theory coupled to a single Weyl fermion suffers from a global anomaly. This problem is addressed here in the context of the recent developments on chiral gauge theories on the lattice. We find Witten's anomaly manifests in the impossibility of defining globally a fermion measure that reproduces the proper continuum limit. Moreover, following Witten's original argument, we check numerically the crossing of the lowest eigenvalues of Neuberger's operator along a path connecting two gauge fields that differ by a topologically non-trivial gauge transformation.Note:
- LATTICE99(Chiral Gauge Theories) - 6 pages, 2 figures
- talk: Pisa 1999/06/29
- gauge field theory: SU(2)
- fermion: Weyl
- anomaly
- gauge field theory: chiral
- lattice field theory
- fermion: measure
- operator: Dirac
- numerical calculations
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