Gell-Mann - Low Function for QCD in the strong-coupling limit

TL;DR

This paper investigates the behavior of the Gell-Mann-Low beta function in Quantum Chromodynamics (QCD) under strong coupling, revealing a power-law behavior with a large negative exponent.

Contribution

It provides a detailed analysis of the beta function's asymptotic form in the strong-coupling limit of QCD, highlighting a specific power-law behavior.

Findings

Beta function behaves as eta_ ext{infty} g^ ext{alpha} with alpha approximately -13

The coefficient eta_ ext{infty} is around 10^5

Strong-coupling behavior indicates a non-trivial asymptotic form

Abstract

The Gell-Mann - Low function \beta(g) in QCD (g=g0^2/16\pi^2 where g0 is the coupling constant in the Lagrangian) is shown to behave in the strong-coupling region as \beta_\infty g^\alpha with \alpha\approx -13, \beta_\infty\sim 10^5.