View source for Overlap Operator

The '''overlap operator''' is a lattice Dirac operator introduced by Herbert Neuberger that realizes exact chiral symmetry on the lattice through a non-local projection of the Wilson-Dirac operator. It satisfies the [[Ginsparg-Wilson Relation|Ginsparg-Wilson relation]], a lattice analogue of the continuum chiral algebra, and provides the formal foundation for [[Domain-Wall Fermions|domain-wall fermions]], which approximate it in a local five-dimensional formulation. The operator is computationally expensive but mathematically pristine, making it the gold standard for chiral lattice QCD.

[[Category:Physics]]
[[Category:Mathematics]]