Axial vector current of exact chiral symmetry on the lattice
Yoshio Kikukawa, Atsushi Yamada
Abstract
We discuss the exact chiral symmetry and its spontaneous breakdown in lattice QCD with the Dirac operators satisfying the Ginsparg-Wilson relation. The axial vector current, which turns out to be related to the vector current simply by the insertion of the operator γ5 (1-aD), is explicitly constructed in the case of the Neuberger-Dirac operator. We also consider an Euclidean proof of the Nambu-Goldstone theorem using the Ward-Takahashi identity of this symmetry.
Create a lesson
Related papers
Evidence of Taste-Symmetry restoration for Kähler-Dirac fermions on Euclidean Dynamical Triangulations
Mingwei Dai, Walter Freeman, Mason Grieb et al.
Hamiltonian framework for Chiral Gauge Theories on a Disk Boundary
Srimoyee Sen
Finite-size scaling analysis of three dimensional Z(2) and O(2) spin models with non-vanishing symmetry breaking parameter
Jishnu Goswami, Frithjof Karsch, Sabarnya Mitra
Bjorken sum rule down to the elastic region from the lattice
J. A. Crawford, A. Hannaford-Gunn, R. Horsley et al.
Performance Portable SU(N) Lattice Gauge Theory Simulation with Kokkos
Wei Sun
Sampling SU(N) gauge theory on a 2D lattice from independent plaquettes via holonomies and corner reweighting
Javad Komijani