25–29 Aug 2025
NCTS-Phys Lecture Hall, 4F, Chee-Chun Leung Cosmology Hall, National Taiwan University
Asia/Taipei timezone

Lattice Chiral Fermion without Hermiticity

26 Aug 2025, 15:15
20m
Invited talk Contributed talks

Speaker

Chen-Te Ma

Description

We discuss the naive lattice fermion without the issue of doublers. A local lattice massless fermion action with chiral symmetry and Hermiticity cannot avoid the doubling problem from the Nielsen-Ninomiya theorem. Here we adopt the forward finite-difference, deforming the 𝛾5-Hermiticity but preserving the continuum chiral symmetry. The lattice momentum is not Hermitian without the continuum limit now. We demonstrate that there is no doubling issue with an exact solution and showcase the numerical implementation of the hybrid Monte Carlo.

Primary authors

Chen-Te Ma Prof. Hui Zhang (South China Normal University)

Presentation materials