2023/01/11 by Gogokhia, V., Gábor, Barnaföldi Gergely
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2301.04561
The novel constraint on any solution to QCD has been exactly and uniquely derived in the framework of the the Slavnov-Taylor identities for the gauge particles propagators. It has the two independent solutions. 1). The first one leads to the general QCD, possessing the confinement phase transition. 2).The second one leads to the particular QCD, or, equivalently, the conventional QCD, does not possessing it. The dynamical source of this effect has to be identified with the constant tadpole term, having the dimension of a mass squared, contributing to the full gluon self-energy. Its renormalized version is conventionally called a mass gap. By formulating the proper subtraction scheme, we prove that it cannot be disregarded from the theory and its ground state by any means, but the perturbative renormalizability of QCD will not be affected.The general QCD forbids the free gluons to appear in the physical spectrum at large distances, and, at the time, has an asymptotic freedom behaviour at high energies. Finally, we describe how our advance results are connected to the Jaffe-Witten's theorem.