Lattice representation of vector and chiral gauge theories

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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

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