Running coupling from gluon exchange in the Schrodinger functional

TL;DR

This paper introduces a novel method to measure the running coupling in a Schrödinger-functional framework using fermion scattering amplitudes, showing reduced statistical fluctuations compared to traditional approaches.

Contribution

The paper presents a new observable based on fermion scattering amplitudes that improves the statistical precision of running coupling measurements in Schrödinger-functional setups.

Findings

Statistical fluctuations are halved with the new observable.

Preliminary tests demonstrate the method's effectiveness.

The approach offers a promising alternative for precise coupling determination.

Abstract

I propose a new method to determine the running coupling in a Schrodinger-functional setup. The method utilizes the scattering amplitude of massless fermions propagating between the time boundaries. Preliminary tests show the statistical fluctuations of the new observable to be about half those of the standard Schrodinger-functional running coupling.