A QED Formulation with Massive Photon Fields

[M91]

TL;DR

Massive QED formalism.

I was reading Diagrammatica by Veltman and he treats the photon field as a massive vector boson in which gauge invariance is disappeared and the propagator has a different expression than in massless photon. After some googling, I found that this is one way to formulate QED which has the advantage of taking care of IR divergences. I would like to read more about the subject. What is the name of such formalism? is there any kind of QFT book (article, paper..) which explains it in detail? I saw some comments in Weinberg's book but Weinberg is too technical for me. Any sources would be appreciated.

 

[Vanadium 50]

The word you want is "Proca".

 

[vanhees71]

or rather Stückelberg, who has shown that for the Abelian case you can have a gauge theory with massive gauge bosons.

 

[M91]

or rather Stückelberg, who has shown that for the Abelian case you can have a gauge theory with massive gauge bosons.

Thanks! I was hoping to get an answer from you, as you always put me in the right direction. Do you also happen to know a reference that discusses this topic in detail rather than books only highlighting this mechanism?