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Completely divergent series

  1. Nov 29, 2005 #1
    let be the completely divergent series at [tex]\epsilon\rightarrow{0}[/tex] in the form of:

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

    where g is the coupling constant of our theory..then let,s suppose this series is summable and that we can get the correct result S

    [tex]S=S(g,\epsilon)[/tex] then let,s suppose that S have a singularity at
    [tex]\epsilon=0[/tex] my question is how we could remove this singularity by renormalization methods....thanks.
     
  2. jcsd
  3. Nov 29, 2005 #2

    Tom Mattson

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    I'm scooting this back out of the Homework section, because it's not an undergraduate level question, and I don't think that it is a textbook question anyway. Eljose tends to work on more open-ended stuff.
     
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