Noncommutative chiral gauge theories on the lattice with manifest star-gauge invariance View Full Text


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Article Info

DATE

2001-08-13

AUTHORS

Jun Nishimura, Miguel A. Vázquez-Mozo

ABSTRACT

We 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. More... »

PAGES

033

Journal

TITLE

Journal of High Energy Physics

ISSUE

08

VOLUME

2001

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1088/1126-6708/2001/08/033

DOI

http://dx.doi.org/10.1088/1126-6708/2001/08/033

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1051017475


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