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A perturbative study of the chirally rotated Schrödinger Functional in QCD

2014/12/26 by Stefan Sint, Sint, Stefan, Pol Vilaseca +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.48550/arxiv.1412.7928

arxiv created 2014/12/26 · openalex publication_date 2014/12/26 · arxiv updated 2014/12/30 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

The chirally rotated Schrödinger functional (χSF) renders the mechanism of automatic O(a) improvement compatible with the Schrödinger functional (SF) formulation. Here we report on the determination to 1-loop order in perturbation theory of the renormalization coefficients necessary to achieve automatic O(a) improvement and the boundary improvement coefficients needed to eliminate the extra boundary O(a) effects present in any SF formulation. After this is done, we perform a set of tests of automatic O(a) improvement and of the universality between standard and chirally rotated SF formulations.

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