Why is it the case that dual field tensors, e.g. [itex]\widetilde{F}^{\mu\nu}=\frac{1}{2}\epsilon^{\mu\nu\rho\sigma}F_{\rho \sigma}[/itex], aren't being included in the Lagrangian? For example, one doesn't encounter terms like [itex]-\frac{1}{4}\widetilde{F}^{\mu\nu}\widetilde{F}_{\mu\nu}[/itex] in QED or [itex]\widetilde{F}^{\mu\nu}W_{\mu}W_{\nu}^{\dagger}[/itex] in vector meson interactions (Phys. Rev. 58, 953). Has it something to do with (discrete) symmetries or..?(adsbygoogle = window.adsbygoogle || []).push({});

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# Dual tensors in Lagrangian

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