Momentum Sum Rule Violation in QCD at High Energy Colliders and Confinement
Abstract
Momentum sum rule in QCD is widely used at high energy colliders. Although the exact form of the confinement potential energy is not known but the confinement potential energy at large distance $r$ can not rise slower than ${\rm ln}(r)$. In this paper we find that if the confinement potential energy at large distance $r$ rises linearly with $r$ (or faster) then the momentum sum rule in QCD is violated at the high energy colliders if we consider the hadron size as infinite. For finite size hadron we find that the momentum sum rule in QCD is violated at the high energy colliders for any form of the confinement potential energy.
 Publication:

arXiv eprints
 Pub Date:
 April 2018
 DOI:
 10.48550/arXiv.1804.02712
 arXiv:
 arXiv:1804.02712
 Bibcode:
 2018arXiv180402712N
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Lattice;
 Nuclear Theory
 EPrint:
 2 New Sections, 13 pages latex