Lattice representation of vector and chiral gauge theories
arXiv:hep-lat/0402028
Abstract
A lattice derivative is defined as a discrete Fourier transform of momentum on a finite lattice. Species doublers are removed with anti-periodic boundary conditions. U(1) chiral transformation is modified to reproduce chiral anomaly. Chiral gauge theories can be constructed on the lattice using a single Weyl fermion as a building block.
Poster presented at Fundamental Problems and Applications of Quantum Field Theory, Yukawa Institute, Dec 25, 2003