antisymmetric tensor but this tensor is representing something about the
baryon? Similar to how J^u is the current for a fermion?

"Jay R. Yablon" <jyablon@nycap.rr.com> wrote in message
news:D6N4f.71208$7b6.43320@twister.nyroc.rr.com...
| Fred,
|
| I don't think Weinberg is necessarily saying this. For example, the
current
| for a fermion is J^u = (psi-bar gamma^u psi) where gamma^u are the
Dirac
| matrices. J^u of course, is a four-vector (first rank tensor) in
spacetime,
| and represent the current originating from the Fermion. The baryons I
am
| constructing follow a similar path. In both cases, a psi-bar is
hooked
| together with psi via a Dirac gamma, and it is this pairing that
allows a
| tensor formulation.

Oops, maybe I phrased that poorly? Let me quote what he actually says
in chapter 31;

"Supergravity necessarily involves spinor as well as tensor fields, so
we will have to describe gravitational fields in terms of a vierbein (or
tetrad) e^a_u(x) rather than a metric,..."

So why would he be specifying spinor and tensor fields separately here?
Then in the Appendix for 31 he says;

"Unlike vectors and tensors, spinors have a Lorentz transformation rule
that has no natural generalization to arbitrary coordinate systems."

He does seem to be saying that spinors are different from vectors and
tensors. Well, it just seems obvious to me since spinors do have a
unique direction. So maybe it is not that baryons are a third rank
antisymmetric tensor but this tensor is representing something about the
baryon? Similar to how J^u is the current for a fermion?

FrediFizzx