I am doing the excercises on Chapter 2 of Ziebach's new book(adsbygoogle = window.adsbygoogle || []).push({}); A First Course in String Theory. Part (b) of Problem 2.3 asks us to show that the objects [tex]\partial/{\partial x^{\mu}} [/tex] transform under a boost along the [tex]x^1[/tex] axis in the same way as the [tex]a_{\mu}[/tex] do.

In other words, to show the differential operators are covariant in special relativity. I haven't done this demonstration before and all the tricks I have come up with don't seem to get there. Can anyone help?

His "lower index objects" are produced from upper index objects by multiplying with the inverse of the contravariant metric tensor : [tex] a_{\mu} = \eta_{\mu\nu} a^{\nu} [/tex]. This has the effect of changing the sign of the 0 (time) component of the vector. Signature is -+++.

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# Diff operators are Covariant

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