Schrödinger functional boundary conditions and improvement for N>3
arXiv:1408.7047 · doi:10.1007/JHEP11(2014)074
Abstract
The standard method to calculate non-perturbatively the evolution of the running coupling of a SU(N) gauge theory is based on the Schrödinger functional (SF). In this paper we construct a family of boundary fields for general values of N which enter the standard definition of the SF coupling. We provide spatial boundary conditions for fermions in several representations which reduce the condition number of the squared Dirac operator. In addition, we calculate the O(a) improvement coefficients for N>3 needed to remove boundary cutoff effects from the gauge action. After this, residual cutoff effects on the step scaling function are shown to be very small even when considering non-fundamental representations. We also calculate the ratio of Lambda parameters between the MS-bar and SF schemes.
arXiv comment33 pages, 6 figures
References in corpus (37)
- Properties and uses of the Wilson flow in lattice QCD
- Chiral symmetry and O(a) improvement in lattice QCD
- The Schrödinger Functional - a Renormalizable Probe for Non-Abelian Gauge Theories
- Non-perturbative O(a) improvement of lattice QCD
- Perturbative analysis of the gradient flow in non-abelian gauge theories
- Delta M_K and epsilon_K in SUSY at the Next-to-Leading order
- Orientifold theory dynamics and symmetry breaking
- Infinite N phase transitions in continuum Wilson loop operators
- A Precise Determination of the Running Coupling in the SU(3) Yang-Mills Theory
- SU(N) gauge theories at large N
- Lattice Study of the Conformal Window in QCD-like Theories
- O(a) improvement of the axial current in lattice QCD to one-loop order of perturbation theory
- Computation of the strong coupling in QCD with two dynamical flavours
- Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions
- Computation of the Running Coupling in the SU(2) Yang-Mills Theory
- Studying the gradient flow coupling in the Schrödinger functional
- The gradient flow coupling in the Schrödinger Functional
- Mass anomalous dimension in SU(2) with two adjoint fermions
- The running coupling from the QCD Schrödinger functional -- a one-loop analysis
- One-loop renormalization of the QCD Schrödinger functional
- Two Loop Computation of the Schroedinger Functional in Lattice QCD
- Large N reduction in the continuum three dimensional Yang-Mills theory
- Running coupling and mass anomalous dimension of SU(3) gauge theory with two flavors of symmetric-representation fermions
- Determining the conformal window: SU(2) gauge theory with N_f = 4, 6 and 10 fermion flavours
- Running coupling constant of ten-flavor QCD with the Schrödinger functional method
- Mass anomalous dimension in SU(2) with six fundamental fermions
- Higher representations on the lattice: perturbative studies
- The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions
- Deep Inelastic Scattering in Improved Lattice QCD. I. The first moment of structure functions
- Two-Loop Computation of the Schroedinger Functional in Pure SU(3) Lattice Gauge Theory
- SU(4) lattice gauge theory with decuplet fermions: Schrödinger functional analysis
- The running of the coupling in SU(N) pure gauge theories
- Nonperturbative improvement of SU(2) lattice gauge theory with adjoint or fundamental flavors
- The Schrödinger functional running coupling with staggered fermions and its application to many flavor QCD
- The gradient flow in a twisted box
- Lattice artefacts in the Schrödinger Functional coupling for strongly interacting theories
- Perturbative Improvement of the Schrodinger Functional for Lattice Strong Dynamics