Gauge-invariant path-integral measure for the overalp Weyl fermions in 16 of SO(10) and the SM

21 Jun 2019, 15:20
20m
Shimao 3B

Shimao 3B

Parallel Physics Beyond the Standard Model Physics Beyond the Standard Model

Speaker

Prof. Yoshio Kikukawa (the University of Tokyo)

Description

We consider the lattice formulation of the SO(10) chiral gauge theory with left-handed Weyl fermions in the sixteen dimensional spinor representation (16)/the Standard Model in the framework of the Overlap fermion/the Ginsparg-Wilson relation. We define a manifestly gauge-invariant path-integral measure for the left-handed Weyl field using all the components of the Dirac field, but the right-handed part of which is just saturated completely by inserting a suitable product of the SO(10)-invariant 't Hooft vertices in terms of the right-handed field. We also discuss the relations of our formulation to other approaches/proposals to decouple the species-doubling/mirror degrees of freedom. Those include Eichten-Preskill model, Ginsparg-Wilson Mirror-fermion model, Domain wall fermion model with the boundary Eichten-Preskill term, and 4D Topological Insulator/Superconductor with gapped boundary phase. We clarify the similarity and the difference in technical detail and show that our proposal is a well-defined and unified testing ground for that basic question.

Primary author

Prof. Yoshio Kikukawa (the University of Tokyo)

Presentation Materials