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A Divergent Diagrams in the Standard Model

  1. Jul 20, 2017 #1
    It is my understanding that the task of enumerating all of the divergent diagrams in a quantum field theory can be reduced to analyzing a hand full of diagrams (well, at the moment I know that this is at least true for QED and phi^4 theory), and that all other divergent diagrams are divergent because they contain at least one of these said hand full of diagrams as a subdiagram.

    When I bought Peskin I had assumed/hoped that all of the basic information regarding this topic would be included, but that doesn't seem to be the case. The said hand full of diagrams are provided for QED and phi^4 theory, but I don't see this information for electroweak theory or QCD. In fact, I don't see this very important information, that is, a catalog of these said diagrams for every theory within the Standard model along with the exact evaluated corresponding amplitudes, within any document that I've come across thus far via google searches or book sifting.

    I think that this information should be readily available and easy to find for anyone that wants to learn about the Standard Model as renormalization is a great cause of curiosity and confusion in modern physics, and so I think it would be nice if we could at least provide a portion of that catalog here if not all of it. If this is too much to do explicitly on a single page then hopefully it is reasonable to do through various links. Of course, the said task is most likely too big for one contributor on physicsforums, but I think several small contributions can quickly add up so I'm hoping that this is seen as a reasonable proposition.

    What I have so far is:

    1. "An Introduction to Quantum Field Theory by Michael E. Peskin and Daniel V. Schroeder, page 317-319" - QED divergent diagrams

    2. "An Introduction to Quantum Field Theory by Michael E. Peskin and Daniel V. Schroeder, page 323-325" - Phi^4 theory divergent diagrams

    (Note: For reference #1, no amplitudes are provided, just the drawn diagrams and corresponding superficial degree of divergence. For reference #2, the amplitudes are provided, but they are not exact.)

    However, anyone without access to the required book will unfortunately not be able to see this information (a reality that we should keep in mind when adding to this thread), but it's a start . I'll continue to look for more sources when I find the time, and add them here.

    Thanks for reading!
     
  2. jcsd
  3. Jul 25, 2017 #2
    Thanks for the thread! This is an automated courtesy bump. Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post? The more details the better.
     
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