Why do the electron and positron creation operators anti-commute?

Question

I am learning QFT and is baffled by a minor problem.

The electron and the positron should be distinguishable, as they have different charges. So why do their creation operators anti-commute? They should commute with each other, just like the creation operators of the electron and the proton commute with each other.

Related: System of distinguishable fermions – Chiral Anomaly Oct 24 '21 at 14:47 — Chiral Anomaly, Oct 24 '21 at 14:47

score 5 · Answer 1 · answered Oct 24 '21 at 14:41

5

As far as I remember, you can choose creation operators of different fermions to commute or to anti-commute, both choices should provide correct results if used consistently.

answered Oct 24 '21 at 14:41

akhmeteli

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Your memory is correct. The keywords are Klein transformation. – Chiral Anomaly Oct 24 '21 at 14:47

Why do the electron and positron creation operators anti-commute?

1 Answers1