i worked this out i believe in a previous paper, let me check
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everything from this relationship that m*ρ_{μν} is the antisymmetric derivative of the 'usual' representation
Also Δ is the feynman rule for the propagator for a massive vector meson in the anti-symmetric rep
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But if we read your rho_mn literally as the usual d_m rho_n - d_n rho_m then your rho-omega-pi vertex is quartic in derivatives and would seem to be in manifest contradiction to the standard result, which is first and second order on derivatives. What's the resolution?
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that's a good point, i'll have to think about it in the morning (it's 2 am here) But i found the paper! Really hope this helps: https://arxiv.org/pdf/hep-ph/0608051.pdf …
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