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Divergent series in perturbation theory of quantum field theory

  1. Nov 6, 2005 #1
    if we know that the divergent series in perturbation theory of quantum field theory goes in the form:

    [tex]\sum_{n=0}^{\infty}a(n)g^{n}\epsilon^{-n}[/tex] with

    [tex]\epsilon\rightarrow{0} [/tex]

    then ..how would we apply the renormalization procedure to eliminate the divergences and obtain finite results?....why can not this be done to NOn-renormalizable series?..thanks.
  2. jcsd
  3. Nov 7, 2005 #2


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    Ok first of all you are abusing terminology a little bit.

    What you want to do is first and foremost, choose a regularization scheme.

    Namely, pick a cutoff on that infinite series. The details of the renormalization process depends crucially on the details of which type of cutoff you pick.
  4. Nov 8, 2005 #3
    I would not chose this cutoff. Chose something like exp(-epsilon*n)
    If esilon-->0 then exp(-epsilon*n)=1.
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