New Approach to renormalization....

josegarc · science forum beginner Joined: 17 May 2006 Posts: 1

A new approach to renormalization has been given at the url
http://demoprints.eprints.org/5120 by Spanish professor M. Angel
Valle..in a work to appear on Physical Review Letters, on it he gives a
method to deal with divergent integrals I(n) of the form
I(n)=Int(0,oo)dpp^{n} using a recursive formula to reduce all the cases
to I(0) and I(-1), from the paper at the url you get that:

-I(1) can be written as a l.c (linear combination) of I(0) and Z(-1)
-I(2) can be written as a l.c of I(0) I(1) and Z(-1)
-I(3) can be written as a l.c of I(2) I(1) I(0) and Z(-3) Z(-1)

the author assigns the value -1/2--->Z(0) using "Zeta regularization"
(see wikipedia or Elizalde,s book "Zeta regularization techniques with
Applications", where Z is the zeta function of Riemann that can be
analytically continued to negative values, being used to absorb the
divergences, except perhaps I(0) and I(-1) as pointed by author himself.

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