Non-perturbative renormalization of Nf=2+1 QCD with Schroedinger functional scheme

TL;DR

This paper reports on the non-perturbative calculation of the running coupling in Nf=2+1 QCD using the Schrödinger functional scheme, employing improved actions and multiple scales to approach the continuum limit.

Contribution

It introduces a non-perturbative renormalization method for Nf=2+1 QCD with detailed analysis across multiple scales and lattice spacings, advancing precision in coupling calculations.

Findings

Scaling behavior of the step scaling function analyzed

Continuum limit approached at various scales

Discussion on physical scale setting via Sommer scale r0

Abstract

We present a preliminary result of Nf=2+1 QCD running coupling in Schroedinger functional scheme. We adopted Iwasaki gauge action and non-perturbatively improved Wilson fermion action with clover term. We use seven renormalization scales to cover from low energy to high energy perturbative region and three lattice spacings to take the continuum limit at each scale. A scaling behabior of the step scaling function is discussed together with its renoralization group flow in the continuum. We argue on introduction of the physical scale through the Sommer scale r0.