Colour Confinement, the Goto-Imamura-Schwinger Term and Renormalization Group

Abstract

In connection with the question of color confinement the origin of the Goto-Imamura-Schwinger term has been studied with the help of renormalization group. An emphasis has been laid on the difference between theories with and without a cut-off.

A Semi-Analytical Solution to Classic Yang—Mills Equations with Both Asymptotical Freedom and Confining Features

“…From this solution we derive out a non-perturbative beta function describing the running of effective coupling constant, which is linear in the couplings both in the infrared and ultraviolet region. Our result is sensible to understand confinings of QCD at purely classical levels and non-perturbatively, thus provide us intuitions on QCD confinings by the conventional quantum treatment [16]. It may provide new ingredients for studies of QCD using gauge/gravity dualities [17].…”