A Factors in the theory of a complex scalar field

The theory of a complex scalar field ##\chi## is given by

$$\mathcal{L}=\partial_{\mu}\chi^{*}\partial^{\mu}\chi-m_{\chi}^{2}\chi^{*}\chi.$$



Why is it not common to include a factor of ##\frac{1}{2}## in front of the complex ##\chi## kinetic term?

What is the effect on the propagator of including a factor of ##\frac{1}{2}##?
 

dextercioby

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A rescaling of the mass term. Think about the real field and about the 1/2 mv^2 for Galilean particles.
 

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