# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

## Six-dimensional regularization of chiral gauge theories on a lattice II

26 Jul 2016, 16:50
20m
Building 67 Room 1003 (Highfield Campus, University of Southampton)

### Building 67 Room 1003

#### Highfield Campus, University of Southampton

Talk Theoretical Developments

### Speaker

Mr Ryo Yamamura (Osaka U.)

### Description

We propose a 6-dimensional lattice regularization of chiral gauge theories. In our formulation, Weyl fermions are localized on the junction of two different domain-walls. One domain-wall naturally exhibits the Stora-Zumino chain of the anomaly descent equations. Another domain-wall mediates a similar inflow of the global anomalies. The anomaly free condition is equivalent to requiring the measure of the 6-dimensional Dirac fermions to cancel the axial U(1) and parity anomalies. Localizing'' the gauge fields on the 4-dimensional junction using the Yang-Mills gradient flow, as proposed by Grabowska and Kaplan, we non-perturbatively define the 4-dimensional path integral of the target chiral gauge theory. In the first talk, we present the basic idea of our formulation, emphasizing on why the 6-th dimension is needed for the global anomalies. In the second talk, we explain our lattice set-up in details.

### Primary author

Mr Ryo Yamamura (Osaka U.)

### Co-authors

Dr Hidenori Fukaya (Osaka University) Mr Shota Yamamoto (Osaka U.) Prof. Tetsuya Onogi (Osaka University)

 Slides