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The Dirac delta satisfies

[tex]\int dx f(x) \delta(x-a) = f(a)[/tex]

But how about

[tex]\int d^3x f(x) \delta^{(4)}(x-a)[/tex]

Here, x and a are four-momenta, and the integral is over the regular 3-dim momentum.

How does the delta behave here?

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# Integration of Dirac delta w/ different dimensionalities

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