Study of the running coupling constant in 10-flavor QCD with the Schroedinger functional method

TL;DR

This paper investigates how the gauge coupling in 10-flavor QCD evolves across energy scales using the Schrödinger functional method, aiming to understand its potential role in electroweak symmetry breaking.

Contribution

It applies the Schrödinger functional method to study the scale dependence of the gauge coupling in 10-flavor QCD, providing preliminary insights into its running behavior.

Findings

Gauge coupling runs slowly over a wide energy range

Preliminary results suggest near-conformal behavior

Potential implications for mass generation mechanisms

Abstract

The electroweak gauge symmetry is allowed to be spontaneously broken by the strongly interacting vector-like gauge dynamics. When the gauge coupling of a theory runs slowly in a wide range of energy scale, the theory is extremely interesting. This may open up the possibility that the origin of all masses may be traced back to the gauge theory. We use the SF method to determine the scale dependence of the gauge coupling of 10-flavor QCD. Preliminary results are reported.