Abstract: (Oxford Journals)
Ginsparg-Wilson relation and admissibility condition have the key role to construct lattice chiral gauge theories. They are also useful to define the chiral structure in finite noncommutative geometries or matrix models. We discuss their usefulness briefly.
  • geometry: noncommutative
  • gauge field theory: chiral
  • Ginsparg-Wilson relation
  • matrix model
  • lattice field theory