The Schrödinger functional in lattice QCD with exact chiral symmetry

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Plain TeX source, 20 pages, no figures

Scientific paper

10.1088/1126-6708/2006/05/042

Similarly to the interaction lagrangian, the possible boundary conditions in quantum field theories on space-time manifolds with boundaries are strongly constrained by the symmetry and scaling properties of the theory. Based on this general insight, a lattice formulation of the QCD Schr\"odinger functional is proposed for the case where the lattice Dirac operator in the bulk of the lattice coincides with the Neuberger--Dirac operator. The construction satisfies all basic requirements (locality, symmetries, hermiticity) and is suitable for numerical simulations.

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