Topology and Chiral Symmetry in Qcd with Overlap Fermions Fsu-scri-99c-72 Jlab-thy-99-41
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چکیده
We briefly review1 the overlap formalism for chiral gauge theories, the overlap Dirac operator for massless fermions and its connection to domain wall fermions. We describe properties of the overlap Dirac operator, and methods to implement it numerically. Finally, we give some examples of quenched calculations of chiral symmetry breaking and topology with overlap fermions. 1. Overlap formula for the chiral determinant In the overlap formalism [1], the chiral determinant is obtained by embedding the Weyl fermion inside a Dirac fermion through a many-body problem. Let H± be two many-body Hamiltonians H± = − ( a1 a † 2 ) H± (
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تاریخ انتشار 1999