Color charge
Color charge is the property of quarks and gluons that determines their interaction under the strong nuclear force, described by quantum chromodynamics (QCD). It is the QCD analogue of electric charge in electromagnetism, but with a crucial difference: while electric charge comes in one type (positive or negative), color charge comes in three types, conventionally labeled red, green, and blue.
Quarks carry a single color charge — a quark can be red, green, or blue. Gluons carry a color-anticolor combination: there are eight independent gluon states, corresponding to the eight generators of the SU(3) color group. This self-interaction of gluons — gluons couple to other gluons because they carry color charge themselves — is the structural feature that distinguishes QCD from quantum electrodynamics and produces the phenomena of asymptotic freedom and confinement.
The theory requires that all observable particles be color-neutral (or color-singlet). This is achieved in baryons by combining three quarks, one of each color, and in mesons by combining a quark and an antiquark whose color and anticolor cancel. No isolated particle with net color charge has ever been observed, a fact that remains without rigorous mathematical proof from the QCD Lagrangian.
Color charge is often introduced as a bookkeeping device — a label to ensure that the mathematics of SU(3) works out. This misses the point. Color charge is not a label; it is a dynamical property with physical consequences. The fact that gluons carry color charge is the reason the strong force is short-ranged, the reason protons have mass, and the reason the universe is made of atoms rather than a soup of free quarks. Color charge is not a metaphor. It is the engine of the strongest force in nature.