The Euclidean Spectrum of Kaplan ’ s Lattice Chiral Fermions

  • Yigal Shamir
  • Published 1992


We consider the (2n+1)-dimensional euclidean Dirac operator with a mass term that looks like a domain wall, recently proposed by Kaplan to describe chiral fermions in 2n dimensions. In the continuum case we show that the euclidean spectrum contains no bound states with non-zero momentum. On the lattice, a bound state spectrum without energy gap exists only… (More)


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