Jun Nishimura and Miguel A. Vázquez-Mozo JHEP08(2001)033 doi:10.1088/1126-6708/2001/08/033
Noncommutative chiral gauge theories on the lattice with manifest star-gauge invariance
Jun Nishimura1 and Miguel A. Vázquez-Mozo1
Show affiliationsWe show that noncommutative U(r) gauge theories with a chiral fermion in the adjoint representation can be constructed on the lattice with manifest star-gauge invariance in arbitrary even dimensions. Chiral fermions are implemented using a Dirac operator which satisfies the Ginsparg-Wilson relation. A gauge-invariant integration measure for the fermion fields can be given explicitly, which simplifies the construction as compared with lattice chiral gauge theories in ordinary (commutative) space-time. Our construction includes the cases where continuum calculations yield a gauge anomaly. This reveals a certain regularization dependence, which is reminiscent of parity anomaly in commutative space-time with odd dimensions. We speculate that the gauge anomaly obtained in the continuum calculations in the present cases can be cancelled by an appropriate counterterm.
- Keywords
- PACS
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11.10.Nx Noncommutative field theory
11.10.Kk Field theories in dimensions other than four
- Subjects
- Dates
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Issue 08 ( 1 August 2001)
Received 1 August 2001, accepted for publication 13 August 2001
Published 11 September 2001
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Noncommutative chiral gauge theories on the lattice with manifest star-gauge invariance
Jun Nishimura and Miguel A. Vázquez-Mozo JHEP08(2001)033
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