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 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)

Presentation Materials