Article,
A renormalisation group derivation of the overlap formulation
(2009)
Abstract
Starting from the continuum Dirac operator, I construct a renormalisation group blocking which transforms the continuum action into a lattice action, and I specifically consider the Wilson and overlap formalisms. For Wilson fermions the inverse blocking is non-local and thus invalid. However, I proceed to demonstrate that it is possible to construct a valid, local, blocking which generates overlap fermions from the continuum Dirac operator.
Using this renormalisation group blocking for overlap fermions, I derive the Ginsparg-Wilson equations. I show how the construction of a lattice chiral gauge theory follows naturally from this approach.
