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This page discusses the problem of Lorentz transformation of radiation
fields. The following citation from a well known textbook
indicates that there is indeed a genuine problem with this matter:
"The fact that A0
vanishes in all Lorentz frames shows vividly that
Aμ cannot be a four vector." (see [1], p. 251).
It turns out that this fact is very far from being well known.
As a matter of fact, many textbooks implicitly regard this 4-potential
as a genuine 4-vector. Therefore, this issue deserves a detailed
discussion.
For reading a recently published paper,
click here.
references:
[1] S. Weinberg, The Quantum Theory of Fields,
Vol. I, (Cambridge, Cambridge University Press, 1995).
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