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The Schrödinger functional in lattice QCD with exact chiral symmetry

Martin Lüscher
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Abstract

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 Schrödinger 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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Martin Lüscher. 2006-03-30. The Schrödinger functional in lattice QCD with exact chiral symmetry. https://doi.org/10.1088/1126-6708%2F2006%2F05%2F042

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