Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-10-07
PoS LATTICE2008:028,2008
Physics
High Energy Physics
High Energy Physics - Lattice
7 Pages, Lattice 2008 (chiral symmetry)
Scientific paper
In this preliminary work, I provide the outline of an argument (leaving the full proof to a future publication) that there exists a valid renormalization group blocking transformation which converts the continuum fermion action into a Ginsparg-Wilson lattice action. I construct the blocking for the massless overlap operator as a specific example, indicating how other Ginsparg-Wilson lattice Dirac operators can be derived in a similar fashion. This renormalization group transformation modifies the gauge action and adds a number of irrelevant terms to the lattice action. The procedure is not valid for lattice Dirac operators which do not exactly satisfy the Ginsparg-Wilson relation, for example the Wilson operator.
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