FraE2007

M. Frasca. Infrared Gluon and Ghost Propagators. Phys. Lett, B670 (2008), 73-77. MathSciNet, arXiv.

Note: There appears to be a serious error in this paper, in Theorem 1: a field A which is a critical point (or extremiser) for the Yang-Mills functional when restricted to a special subclass of fields, is not necessarily a critical point for the functional for all fields, and in particular is not necessarily a solution to the Yang-Mills equation.

Note 2): There is no error. The class of Smilga's solutions are common both to Yang-Mills equations and scalar field theory and grants an extremum for both. This has been proved in arxiv:0903.2357 [math-ph]. For all other cases, solutions are common solutions in the limit $g\rightarrow \infty$, being $g$ the coupling constant. This is all one needs for low-energy analysis of Yang-Mills theory. This paper will appear shortly on Modern Physics Letters A.