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Independence of $S$-matrix iin QED of a gauge of EM field

Due to existence of several ways to fix a gauge of aan EM field in QED, there are several ways to quantize it. That leads to non-uniqueness of photon propagator and hence to non-uniqueness of integrals corresponding to Feynman diagrams in perturbative calculations.

Presumably in calculations of physical interest, such as $S$-matrix, this non-uniqueness should not play a role and should cancel out in perturbative calculations. My question is whether there is a good place to read a proof of the latter statement?

Independence of $S$-matrix i QED of a gauge of EM field

Due to existence of several ways to fix a gauge of a EM field in QED, there are several ways to quantize it. That leads to non-uniqueness of photon propagator and hence to non-uniqueness of integrals corresponding to Feynman diagrams in perturbative calculations.

Presumably in calculations of physical interest, such as $S$-matrix, this non-uniqueness should not play a role and should cancel out in perturbative calculations. My question is whether there is a good place to read a proof of the latter statement?

Independence of $S$-matrix in QED of a gauge of EM field

Due to existence of several ways to fix a gauge of an EM field in QED, there are several ways to quantize it. That leads to non-uniqueness of photon propagator and hence to non-uniqueness of integrals corresponding to Feynman diagrams in perturbative calculations.

Presumably in calculations of physical interest, such as $S$-matrix, this non-uniqueness should not play a role and should cancel out in perturbative calculations. My question is whether there is a good place to read a proof of the latter statement?

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MKO
  • 2.2k
  • 16
  • 30

Independence of $S$-matrix i QED of a gauge of EM field

Due to existence of several ways to fix a gauge of a EM field in QED, there are several ways to quantize it. That leads to non-uniqueness of photon propagator and hence to non-uniqueness of integrals corresponding to Feynman diagrams in perturbative calculations.

Presumably in calculations of physical interest, such as $S$-matrix, this non-uniqueness should not play a role and should cancel out in perturbative calculations. My question is whether there is a good place to read a proof of the latter statement?