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Chiral gauge theories on a lattice and application to the chiral Schwinger model
Phys. Rev. D 38, 618 – Published 15 July, 1988
DOI: https://doi.org/10.1103/PhysRevD.38.618
Abstract
We derive a chiral gauge-invariant lattice fermion action from a chiral gauge-variant Wilson fermion action without changing its partition function. By using this formula we show that anomalous gauge theories are renormalizable in four dimensions and we investigate the chiral Schwinger model. We calculate the induced mass for the gauge boson compatible with the gauge invariance and show that this model is gauge invariant and unitary for a range of Wilson parameter r at the fermion one-loop level.
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Phys. Rev. D 40, 2729 (1989)
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Phys. Rev. D 40, 2727 (1989)
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- The original range of is, of course, 0 < < 2 pi. Here we extend it as - inf < < inf, because is a periodic function for with the period 2 pi.
- Omitted end note.
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