(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

i'm trying to calculate the charge operator for a complex scalar field. I've got the overal problem right but i'm confused about this:

On page 18 of Peskin, it is written that the conserved current of a complex scalar field, associated with the transformation ##\phi \rightarrow \phi e^{\alpha \phi}##, is

$$ j^\mu = i(\partial^\mu \phi^*) \phi - i \phi^* (\partial^\mu \phi)$$

I'm trying to recalculate it.

2. Relevant equations

$$ j^\mu = \frac{\delta L}{\delta (\partial_\mu \phi)} \delta \phi +

\frac{\delta L}{\delta (\partial_\mu \phi^*)} \delta \phi^* $$

##\delta \phi = i \phi## and ##\delta \phi^* = -i \phi^*##

3. The attempt at a solution

Using the above equations i get

$$ j^\mu = i(\partial^\mu \phi^*) \phi - i (\partial^\mu \phi) \phi^*$$

and since i will later promote ##\phi## to an operator the order is important. Or not ?

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# Homework Help: Peskin complex scalar field current

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