Completely divergent series

let be the completely divergent series at [tex]\epsilon\rightarrow{0}[/tex] in the form of:


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.

Tom Mattson

Staff Emeritus
Science Advisor
Gold Member
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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