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Perturbative determination ofO<mml:mn/>(a)<mml:mn/>boundary improvement coefficients for the Schrödinger functional coupling at 1 loop with improved gauge actions

2003/04/21 by Shinji Takeda, Sinya Aoki, K. Ide +1 · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Computer science #Coupling (piping) #Engineering #Function (biology) #Gauge (firearms) #Gauge theory #Geometry #Lambda #Lattice (music) #Lattice gauge theory #Materials science #Mathematical physics #Mathematics #Mechanical engineering #Particle physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum and electron transport phenomena #Quantum chromodynamics #Quantum mechanics #Rectangle #hep-lat

paper · pdf · doi:10.1103/physrevd.68.014505

published as Phys.Rev. D68 (2003) 014505 · 17 pages, 2 figures, 6 tables

arxiv created 2003/04/21 · openalex publication_date 2003/07/10 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We determine O(a) boundary improvement coefficients up to the 1-loop level for the Schr"odinger functional coupling with improved gauge actions including plaquette and rectangle loops. These coefficients are required to implement 1-loop O(a) improvement in full QCD simulations for the coupling with the improved gauge actions. To this order, lattice artifacts of the step scaling function for each improved gauge action are also investigated. In addition, passing through the Schr"odinger functional scheme, we estimate more accurately the ratio of the \ensuremathΛ parameters between the improved gauge actions and the plaquette action.

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