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I am not sure whether I understand correctly or not.

So from Peskin Schroeder’s book:

[tex]\phi(x)|0>=

\int{\frac{d^3 p}{(2\pi)^3}\frac{1}{2E_p}e^{-ipx}|p>

[/tex]

formula (2.41). Interpreting this formula they say – it’s a linear superposition of single-particle states that have well defined momentum. And also that operator phi(x) acting on the vacuum, creates a particle at position x.

My question – since it is a superposition of single-particle states and creates a particle at position X, So that operator creates many single-particle states with different momentum (since there is integration over p and each single-particle state has different momentum) and all of them (particles with different momentum ) are created at one position X?

Or briefly – many different momentum particles are created at one position X?

Thanks

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# Linear superposition of single-particle states

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