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Six-dimensional regularization of chiral gauge theories on a lattice · Around

2016

Six-dimensional regularization of chiral gauge theories on a lattice

Fukaya, Hidenori, Onogi, Tetsuya, Yamamoto, Shota et al.

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We propose a six-dimensional regularization of four dimensional chiral gauge theories.

We consider a massive Dirac fermion in six dimensions with two different operators having domain-wall profiles in the fifth and the sixth directions, respectively.
A Weyl fermion appears as a localized mode at the junction of the two domain-walls.
In our formulation, the Stora-Zumino chain of the anomaly descent equations, starting from the axial $U(1)$ anomaly in six-dimensions to the gauge anomaly in four-dimensions, is naturally embedded.

Built on

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B. Zumino, In *Treiman, S.b. ( Ed.) Et Al.: Current Algebra and Anomalies*, 361-391 and Lawrence Berkeley Lab. - LBL-16747 (83,REC.OCT.) 46p

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H. Fukaya, T. Onogi, S. Yamamoto and R. Yamamura, arXiv:1607.06174 [hep-th]

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