The Schrödinger functional in lattice QCD with exact chiral symmetry

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.

Plain TeX source, 20 pages, no figures

Cited by in corpus (10)

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• Why boundary conditions do not generally determine the universality class for boundary critical behavior
• Restless pions: orbifold boundary conditions and noise suppression in lattice QCD
• Lattice renormalisation of O(a) improved heavy-light operators
• Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional
• $K$-theoretic computation of the Atiyah(-Patodi)-Singer index of lattice Dirac operators
• Understanding the index theorems with massive fermions