The Schrödinger Functional for Improved Gluon and Quark Actions
arXiv:hep-lat/9705025 · doi:10.1016/S0550-3213(97)00598-1
Abstract
The Schrödinger Functional (quantum/lattice field theory with Dirichlet boundary conditions) is a powerful tool in the non-perturbative improvement and for the study of other aspects of lattice QCD. Here we adapt it to improved gluon and quark actions, on isotropic as well as anisotropic lattices. Specifically, we describe the structure of the boundary layers, obtain the exact form of the classically improved gauge action, and outline the modifications necessary on the quantum level. The projector structure of Wilson-type quark actions determines which field components can be specified at the boundaries. We derive the form of O(a) improved quark actions and describe how the coefficients can be tuned non-perturbatively. There is one coefficient to be tuned for an isotropic lattice, three in the anisotropic case. Our ultimate aim is the construction of actions that allow accurate simulations of all aspects of QCD on coarse lattices.
39 pages, LaTeX, 11 embedded eps files
Cited by in corpus (14)
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- The Anisotropic Wilson Gauge Action
- Non-perturbative improvement of stout-smeared three flavour clover fermions
- Non-Perturbative Improvement of the Anisotropic Wilson QCD Action
- The Effectiveness of Non-Perturbative O(a) Improvement in Lattice QCD
- Computation of the improvement coefficient to 1-loop with improved gluon actions
- O(a)-improved quark action on anisotropic lattices and perturbative renormalization of heavy-light currents
- Relativistic Bottomonium Spectrum from Anisotropic Lattices
- Heavy and Light Quarks with Lattice Chiral Fermions
- A scaling study of the step scaling function in SU(3) gauge theory with improved gauge actions
- Heavy quark action on the anisotropic lattice
- A perturbative determination of O(a) boundary improvement coefficients for the Schrödinger Functional coupling at 1-loop with improved gauge actions
- A non-perturbative study of the action parameters for anisotropic-lattice quarks
- Computation of the improvement coefficient to 1-loop with improved gluon actions