- #36
psmt
- 38
- 1
akhmeteli said:It is not quite clear why I would need "the field itself"
As i understand it, you haven't shown that the other field components are zero, you've just eliminated them from the Dirac equation - they will still contribute to the current etc (i'd have thought... can't see why not).
A couple of other things: firstly, your paper appears to be on classical field theory... can any conclusions drawn from that paper necessarily be carried over to the quantum theory? Secondly, when vanhees71 says you need a complex field to have charged quanta, he means the field must have the the freedom to be complex, even if it happens to have been made real by a gauge transformation. Although it doesn't appear to realized in Nature, there's nothing inconsistent about a free field theory with charged particles, and the definition of charge as the Noether charge of a global phase symmetry is still good - no gauge fields needed.