Eur. Phys. J. C 22, 463-477 (2001)
DOI: 10.1007/s100520100821

Renormalization constant of the color gauge field as a probe of confinement

M. Chaichian^{1, 2} and K. Nishijima<sup>3

1</sup>  Department of Physics, High Energy Physics Division, University of Helsinki, 00014 Helsinki, Finland
²  Helsinki Institute of Physics, P.O. Box 64, 00014 Helsinki, Finland
³  Nishina Memorial Foundation, 2-28-45 Honkomagome, Bunkyo-ku, Tokyo 113-8941, Japan

(Received: 20 September 2001 / Published online: 23 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )

Abstract
The mechanism of color confinement as a consequence of an unbroken non-abelian gauge symmetry and asymptotic freedom is elucidated and compared with that of other models based on an analogy with the type II superconductor. It is demonstrated that a sufficient condition for color confinement is given by Z₃^-1=0 where Z₃ denotes the renormalization constant of the color gauge field. It is shown that this condition is actually satisfied in quantum chromodynamics and that some of the characteristic features of other models follow from it.

© Società Italiana di Fisica, Springer-Verlag 2001