As the distance between two quarks increases the potential energy in the bond between them grows without bound until hadronization occurs.
cesiumfrog said:Seen the plentiful research on Yang-Mills black hole "hair" in anti-de Sitter space (for boundary conditions)? It seems "black holes do not have color charge" only in the sense that classical relativists normally neglect everything other than gravitational and electromagnetic fields; in fact the black hole can have infinite hair by adding that many quantum fields.
In the reference frame I considered, that is, the quark's center of mass, the system feels no gravity because it is in free fall, and the kinetic energy of the quarks in relation to the center is smaller than it needs to happen hadronization.
I wasn't aware of that. Can you give me some nice references?
Look in any standard text book on the subject and you will find a theorem in black hole physics called the "no hair" theorem. This theorem basically says that black holes have only three externally observable characteristics, mass M , surface charge Q, and angular momentum L.