(adsbygoogle = window.adsbygoogle || []).push({}); renormalization and divergences....

let suppose we have a formula for the mass in the form:

[tex]m=\int_{0}^{\infty}dxf(x)e^{-ax} [/tex] [tex]a=ln\epsilon [/tex]

with epsilon tending to zero so a is divergent..but if we perform the integral numerically:

[tex]m=\sum_{j}w(x_{j})c_{j}f(x_{j})e^{-ax_{j}) [/tex]

so we could express the quantity a in terms of the mass m so [tex]a=g(m)[/tex] so we could put inside the integral to calculate the m:

[tex]m=\int_{0}^{\infty}dxf(x)e^{-xg(m)} [/tex] and from this equation obtain a value for the mass m.

I Know something similar is made for renormalizable theory..but why can not be made for non-renormalizable ones?...

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Renormalization and divergences

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**