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nLab > Latest Changes: Stückelberg-Petermann renormalization group

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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeDec 22nd 2017
    • (edited Dec 22nd 2017)

    I have split off Stückelberg-Petermann renormalization group from main theorem of perturbative renormalization, just so as to record references.

    Both entries remain stubs for the time being (will get to filling in details soon.)

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJan 27th 2018
    • (edited Jan 28th 2018)

    I wrote:

    I have phrased this with no renormalization condition assumed,

    Here I was wrong. One needs one renormalization condition, namely “field independence” of the S-matrix/time-ordered products (here). This is because one needs this axiom on the vertex redefinitions in order for their “local additivity” to follow (this prop., I have expanded the proof to clarify this) and so then for the difference of two renormalization schemes to come from such a vertex redefinition, they need to be “field-independent” themselves.

    I have fixed this.

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