Confinement with Perturbation Theory, after All?
Abstract
I call attention to the possibility that QCD bound states (hadrons) could be derived using rigorous Hamiltonian, perturbative methods. Solving Gauss' law for with a non-vanishing boundary condition at spatial infinity gives an \order{\alpha_s^0} linear potential for color singlet and states. These states are Poincar\'e and gauge covariant and thus can serve as initial states of a perturbative expansion, replacing the conventional free and states. The coupling freezes at , allowing reasonable convergence. The \order{\alpha_s^0} bound states have a sea of pairs, while transverse gluons contribute only at \order{\alpha_s}. Pair creation in the linear potential leads to string breaking and hadron loop corrections. These corrections give finite widths to excited states, as required by unitarity. Several of these features have been verified analytically in dimensions, and some in .
Cite
@article{arxiv.1409.4703,
title = {Confinement with Perturbation Theory, after All?},
author = {Paul Hoyer},
journal= {arXiv preprint arXiv:1409.4703},
year = {2015}
}
Comments
6 pages, 2 figures. Based on talks at Light Cone 2014 (Raleigh, NC USA, May 2014) and at the FAIR Workshop (Kolymbari, Greece, July 2014). Minor changes, this version is to be published in the journal Few-Body Systems