# Lattice Investigations of the Running Coupling

## TL;DR

This paper reviews lattice techniques used to study the running of couplings in gauge theories and discusses current methods for estimating the strong coupling constant at the Z boson mass scale.

## Contribution

It provides a comprehensive overview of non-perturbative lattice approaches to determine running couplings and their application to estimate _{ ext{MS}}(m_Z).

## Key findings

- Lattice methods effectively study non-perturbative running of couplings.
- Current lattice estimates of _{ ext{MS}}(m_Z) are discussed.
- The review highlights progress and challenges in lattice QCD calculations.

## Abstract

A review of investigations of running couplings using lattice techniques is given. This includes i) studies of the running of particular non-perturbatively defined renormalized couplings in pure gauge theories over a range of energies, and ii) how estimates of $\alpha_{\overline{MS}}(m_Z)$ in lattice QCD are presently obtained.

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Source: https://tomesphere.com/paper/hep-lat/9511017