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Is there a good way to translate between interaction vertices expressed a) in "antisymmetric tensor representation" for vector mesons to b) their "usual" vector representation? To re-express your Feynman rule for rho_mn - omega_mn - pi to the "usual" rho_m - omega_n - pi ?
i can't seem to find the reference at the moment, but there's this wonderful detailed paper that goes over it in the appendix.. for what it's worth here's how the feynman rules for the external legs are related in the two representations .. i think you can get basically.. 1/2pic.twitter.com/OABkG90U8K
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everything from this relationship that m*ρ_{μν} is the antisymmetric derivative of the 'usual' representation
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Also Δ is the feynman rule for the propagator for a massive vector meson in the anti-symmetric rep
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Regarding papers that go over the antisymmetric tensor representation for vector mesons in their appendix: The originals are: Appendix C of: Gasser-Leutwyler 84 http://doi.org/10.1016/0003-4916(84)90242-2 … Appendix A of: Ecker-Gasser-Pich-DeRafael 89 http://doi.org/10.1016/0550-3213(89)90346-5 …
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