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Does a particle and its antiparticle share the same field in QFT? If an electron is an energized spot in the electron field, is a positron a less energized spot or even a spot of negative energy (if there is such a thing) in the electron field? From the basic knowledge I posses, it would make sense that two particles that are identical except for their charge, would come from the same field.

Thanks for helping me out and sorry for how naive this question is. I have been poking around on the internet trying to figure this out and have only become more confused.

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Yes, particles and antiparticles are excitations of the same field. (A special case: photons are their own antiparticles, so the statement is tautological in this case.)

However, antiparticles are not excitations with less energy or negative energy. An antiparticle with momentum $\vec{p}$ has the same energy as a particle with momentum $\vec{p}$.

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  • $\begingroup$ New user @DavidStJean asks:"Is there a source available for the answer above? I would like to learn more" $\endgroup$ – anna v Sep 12 '18 at 9:11
  • $\begingroup$ A source at what level? This is covered in literally any QFT textbook. At a pop-sci level, maybe Feynman's little book QED? $\endgroup$ – user1504 Sep 12 '18 at 13:16

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