I was wondering how does one calculate the mass of an anti-symmetric spin-1 field. For a vector field one writes $m^{2}A_{\mu}A^{\mu}$ for mass term. How does one write the mass for "any" anti-symmetric spin-1 field $D_{\mu\nu}$?
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$\begingroup$ What do you mean by antisymmetric? $\endgroup$– InertialObserverCommented Jan 7, 2019 at 1:33
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$\begingroup$ $D_{\mu\nu} = -D_{\nu\mu}$ $\endgroup$– physics_2015Commented Jan 7, 2019 at 23:28
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$\begingroup$ Right but $A_\mu A^\nu$ is symmetric not antisymettric $\endgroup$– InertialObserverCommented Jan 7, 2019 at 23:28
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$\begingroup$ I said "any" anti-symmetric spin-1 field. $\endgroup$– physics_2015Commented Jan 7, 2019 at 23:41
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$\begingroup$ I see what you're asking now hah.. Thought that you were saying something else.. $\endgroup$– InertialObserverCommented Jan 7, 2019 at 23:43
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