Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2002-08-14
Can.J.Phys. 80 (2002) 1093-1097
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, Latex (to appear in Can.J.Phys.)
Scientific paper
10.1139/p02-034
We show that the non-appearance of gluons and quarks as physical particles is a rigorous and automatic result of the full, i.e. nonperturbative, nonabelian nature of the color interaction in quantum chromodynamics. This makes it in general impossible to describe the color field as a collection of elementary quanta (gluons). Neither can a quark be an elementary quantum of the quark field, as the color field of which it is the source is itself a source, making isolated noninteracting quarks, crucial for a physical particle interpretation, impossible. In geometrical language, the impossibility of quarks and gluons as physical elementary particles arises due to the fact that the color Yang-Mills space does not have a constant trivial curvature. In QCD, the particles ``gluons'' and ``quarks'' are merely artifacts of an approximation method (the perturbative expansion) and are simply absent in the exact theory. This also coincides with the empirical, experimental evidence.
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