• DOI:10.22323/1.256.0330
• Corpus ID: 96457482

Six-dimensional regularization of chiral gauge theories on a lattice

@inproceedings{Fukaya2016SixdimensionalRO,
  title={Six-dimensional regularization of chiral gauge theories on a lattice},
  author={Hidenori Fukaya and Tetsuya Onogi and Shota Yamamoto and Ryo Yamamura},
  year={2016}
}

• H. Fukaya, T. Onogi, +1 author R. Yamamura
• Published 1 December 2016
• Physics

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. Moreover, a similar inflow of the global anomalies is found. The anomaly free condition is equivalent to requiring that the axial U(1) anomaly and the parity anomaly are canceled among the six-dimensional Dirac fermions. Putting the gauge field at the four- dimensional junction and extending it to the bulk using the Yang-Mills gradient flow, as recently proposed by Grabowska and Kaplan, we define the four-dimensional path integral of the target chiral gauge theory.