- #1

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## Main Question or Discussion Point

I find it difficult to believe that the canonical commutation relations for a complex scalar field are of the form

##[\phi(t,\vec{x}),\pi^{*}(t,\vec{y})]=i\delta^{(3)}(\vec{x}-\vec{y})##

##[\phi^{*}(t,\vec{x}),\pi(t,\vec{y})]=i\delta^{(3)}(\vec{x}-\vec{y})##

This seems to imply that the two scalar fields ##\phi## and ##\phi^{*}## are somehow coupled, even though they are not.

Can you explain this?

##[\phi(t,\vec{x}),\pi^{*}(t,\vec{y})]=i\delta^{(3)}(\vec{x}-\vec{y})##

##[\phi^{*}(t,\vec{x}),\pi(t,\vec{y})]=i\delta^{(3)}(\vec{x}-\vec{y})##

This seems to imply that the two scalar fields ##\phi## and ##\phi^{*}## are somehow coupled, even though they are not.

Can you explain this?