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The special theory of relativity describes the motion and dynamics of objects moving at significant fractions of the speed of light.
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What is the relation between $\eta^{ab}x^2$ and $x^ax^b$?
What is the relation between $\eta^{ab}x^2$ and $x^ax^b$? Here $\eta$ is the Minkowski metric in $d=4$ and $x$ is a 4-vector.
In particular, a tensor like $$x^a x^b x^c (\eta_{ab}x^2 - x_ax_b) \tag{1 …
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Dot product in index notation [closed]
This is a question about a small exercise I am trying to do in order to check if I am correct. Such type of quantities can appear in propagators in QFT. Since I am not an index expert I need some assi …