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Dansuer
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Homework Statement
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.
Homework 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^*##
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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