Re: Baryons as Third Rank Antisymmetric Tensors

"DRLunsford" <antimatter33@xxxxxxxxx> wrote in message
news:1129856562.750023.128180@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
> You mean, they are pseudovectors. This would mena their Dirac equation
> is
>
> (ym dm - M y5) psi = 0
>
> Are you claiming that?
>
> -drl
Not necessarily.

What I am saying is that if one takes the third rank antisymmetric tensor
typically associated with P^uvt = F^uv;t + F^vt;u + F^tu:v which is zero for
an abelian fields but can become non-zero for a non-Abelian field due to
non-linear boson-boson interactions, that the question then arises, "what is
the nature of this third rank object P^uvt when it becomes non-zero?"

If one carries through the mathematical development, and uses propagator
theory to relate currents to vector bosons (the inverse of the momentum
space of the wave equation for a vector boson interacting with a current
source), that it turns out that P^uvt inherently contains three fermion
currents, regardless of the rank of the Yang Mills group that is, SU(N) for
any N. (Maybe other than simple Lie algebras too, but I've not explored
those.)

The fact that these three-fermion-current sources naturally emerge from
P^uvt = F^uv;t + F^vt;u + F^tu:v, leads me to suspect that these P^uvt are
closely connected to baryons. That is as far as I have gone to date; a
final "proof" would be to derive a three-current object which has the right
quantum number to be, say, a proton or a neutron. But just the fact that
P^uvt can be shown to contain three distinct J^u current as a general matter
is, to me, very intriguing.

My home page at http://home.nycap.rr.com/jry/FermionMass.htm shows some of
the "flavorless" and "colorless" Feynman diagrams that arise from this
analysis. That is, these show just the bare properties of these P^uvt
objects, irrespective of their flavor and color quantum numbers.

Thanks for your reply.

Jay.


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