On the infrared scaling solution of SU(N) Yang-Mills theories in the maximally Abelian gauge

Understand

An improved method for extracting infrared exponents from functional equations is presented.

• The generalizations introduced allow for an analysis of quite complicated systems such as Yang-Mills theory in the maximally Abelian gauge.
• Assuming the absence of cancellations in the appropriately renormalized integrals the only consistent scaling solution yields an infrared enhanced diagonal gluon propagator in support of the Abelian dominance hypothesis.
• This is explicitly shown for SU(2) and subsequently verified for SU(N), where additional interactions exist.