Regular Article - Theoretical Physics
On the infrared scaling solution of SU(N) Yang–Mills theories in the maximally Abelian gauge
Institut für Physik, Karl-Franzens-Universität Graz, Universitätsplatz 5, 8010, Graz, Austria
2 Department of Physics, Washington University, St. Louis, MO, 63130, USA
* e-mail: firstname.lastname@example.org
Published online: 30 June 2010
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. We also derive the most infrared divergent scaling solution possible for vertex functions in terms of the propagators’ infrared exponents. We provide general conditions for the existence of a scaling solution for a given system and comment on the cases of linear covariant gauges and ghost–anti-ghost symmetric gauges.
© Springer-Verlag / Società Italiana di Fisica, 2010