spookyfish
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Hi. I am confused about something related to the creation of particles/antiparticles in a complex scalar field.
I read in the literature that \phi(x)|0\rangle describes the creation of a particle at point x. But given that
\phi(x) = \int \frac{d^3 p}{\sqrt{(2\pi)^3 2E_p}} \left(a(p)e^{-ipx}+b^\dagger (p)e^{ipx}\right)
then in \phi(x)|0\rangle only the b^\dagger(p) term contributes, i.e.
\phi(x)|0\rangle= \int \frac{d^3 p}{\sqrt{(2\pi)^3 2E_p}}e^{ipx} b^\dagger(p)|0\rangle
from which it seems that an anti-particle (created by b^\dagger(p)) is created at x.
I read in the literature that \phi(x)|0\rangle describes the creation of a particle at point x. But given that
\phi(x) = \int \frac{d^3 p}{\sqrt{(2\pi)^3 2E_p}} \left(a(p)e^{-ipx}+b^\dagger (p)e^{ipx}\right)
then in \phi(x)|0\rangle only the b^\dagger(p) term contributes, i.e.
\phi(x)|0\rangle= \int \frac{d^3 p}{\sqrt{(2\pi)^3 2E_p}}e^{ipx} b^\dagger(p)|0\rangle
from which it seems that an anti-particle (created by b^\dagger(p)) is created at x.