I'm taking a quantum field theory course and the topic of active vs passive transformations came up. I have previously taken a physics course and active/passive transformations were never explicitly discussed.(adsbygoogle = window.adsbygoogle || []).push({});

What is the difference between the two?

In particular I'm trying to follow the following argument:

Consider a scalar field f(x) which transforms under a Lorentz transformation x->L(x).

It transforms as

f(x) -> f'(x) = f(L_inverse(x))

Why is it L_inverse(x) instead of L(x)?

Thanks.

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# Difference between active and passive transformations.

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