Re: First publication: "On the Dynamical Origins of QCD Confinement"
- From: "Jay R. Yablon" <jyablon@xxxxxxxxxxxx>
- Date: Wed, 22 Jun 2005 01:00:19 +0000 (UTC)
In regards to my original post on this thread, announcing my ArXiV paper at http://arxiv.org/pdf/hep-ph/0506166, I would like to summarize the main points below. I would be interested in your
thoughts.
Summary:
Briefly, this paper establishes a dynamical mechanism for quark and gluon confinement via "flux nullification."
Flux nullification is a concept which is expressed in the so-called MIT bag model that the confinement barrier is specified -- in what is actually a very classical sense -- as a boundary through which there is no net flux of vector particles (e.g., gluons) as well as no net flux of fermions (e.g., quarks). The bag model shows how to shut off the flux, but it does so by introducing a backpressure -- ad hoc -- which effectively shuts off the Maxwell-type flux across a specified radius which is the confinement barrier.
We show that when a fermion current interacts with a massive vector boson (quantum mechanically-speaking) or is placed in the potential of massive vector fields (classically-speaking), that this essentially has the same effect as the backpressure: it shuts down the flux at a certain boundary and thus leads to confinement.
After establishing this mechanism as a general proposition (and the beauty of flux nullification is that it can be expressed completely classically), we make use of a -A/r +Br potential such as is often used in quark models, and by employing standard values of A and B, we come to find that the confinement radius is in the .7 to .8 Fermi range -- exactly where the proton radius is. In fact, the mass of the interacting vector particles is what fine tunes the exact value of the confinement radius, along with the choices of A and B.
We are still working to understand exactly what physically-observed vector
particles are responsible for confinement. The rho and omega vector mesons,
for example, have a mass that is within a few percent of the mass needed to
yield the proton radius, and I suspect therefore that these particles are
very much involved in the proton's confinement, and that in general, there
may be a correspondence between various baryons and the vector mesons which
confine them (sort of a baryon -- meson partnership). In all honesty, Dr.
Inopin is not sure of this yet, so we omitted it from the paper. So, right now, we
establish that IN PRINCIPLE vector bosons masses result in confinement, but
stop short of specifying WHICH vector mesons are responsible for confinement
of which baryons.
More broadly speaking, Dr. Inopin and I are both of the view that the gluons of
QCD which normally are taken to be massless, do in some way pick up a mass
on the order of several hundred MeV or a few GeV, and thus are responsible
for confinement, and in some way do become related to the various observed
vector mesons. We have another paper in the works to suggest some ways in
which this might happen.
For now, in this paper, the main points are: a) if you want confinement, massive vector particles are the way to turn off the flux and give you what you need to get confinement, dynamically, without using any ad hoc conditions to turn off the flux. And, b) when looked at in a covariant spacetime formulation -- that it is the time component of Maxwell's equations which is used to shut down gluon flux across the confinement barrier and thus yield colorless baryons and mesons, and the space component that is used to shut down quark flux across the confinement barrier and this prevent us from ever observing a free quark. And c) the actual confinement radii which are predicted by this approach turn out when one uses customary quark potentials to be on the order of .7 to .8 Fermi, which is exactly the range that nature uses.
We plan after some further development and "dotting and crossing" a few more i's and t's including any feedback we receive here, to submit this for journal publication.
Best,
Jay.
.
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