Nonperturbative approach to Yang-Mills theories in the continuum. I. Strong-coupling confinement

Publisher Website
Google Scholar
Abstract
We study a well-defined formulation of pure Yang-Mills theories in the continuum which employs an action structured by gauge-invariant loop variables. At the classical level, we show how the aforementioned formulation comes arbitrarily close to the standard Yang-Mills action and also prove that it yields the correct equations of motion. We perform a path-integral quantization of the theory and establish, through direct calculation, strong-coupling confinement in the continuum. We claim that the advocated formulation constitutes a nonperturbative regularization of non-Abelian gauge theories in the continuum.

This publication has 9 references indexed in Scilit: