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I was not entirely sure where to post this, but I think this will work.

With the gravitational field we have that

[tex]g^{\alpha\beta}g_{\alpha\beta}=4[/tex]

which is the dimension of the manifold I believe. I have normally heard of [itex]g_{\alpha\beta}[/itex] being interpreted as the gravitational field quantity (or the tetrad). For the other fields in physics (like [itex]A_{\mu}[/itex]), how does one compute the dimension, or does such a quantity not exist for anything other than the gravitational field?

Thanks in advance,

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# The dimension of fields

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