Representations of the Discrete Inhomogeneous Lorentz Group and Dirac Wave Equation on the Lattice

  • Miguel Lorenteyz, Peter Kramerz
  • Published 2007

Abstract

We propose the fundamental and two dimensional representation of the Lorentz groups on a (3+1)-dimensional hypercubic lattice, from which representations of higher dimensions can be constructed. For the unitary representation of the discrete translation group we use the kernel of the Fourier transform. From the Dirac representation of the Lorentz group… (More)

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