Avec Frank Wilczek, dans le cadre du cycle : Les grandes conférences de l'École normale supérieure. Enregistré le 18-04-2008 à 14:00. The Dirac equation occurs naturally in the relativistic theory of elementary particles, but for both practical and theoretical reasons it is very
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interesting to consider approximate realizations in discrete (lattice) systems. The Dirac equation arises in, and has important implications for, the description of low-energy excitations in graphene and possibly others materials. Then I shall describe "fermion doubling", a fundamental issue in the treatment of chiral theories using lattice discretization. I shall define the problem, show its deep origins in topology, and suggest simple ways to minimize and possibly overcome it.
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