# Renormalization and divergences

1. Dec 15, 2005

### eljose

renormalization and divergences....

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

$$m=\int_{0}^{\infty}dxf(x)e^{-ax}$$ $$a=ln\epsilon$$

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

$$m=\sum_{j}w(x_{j})c_{j}f(x_{j})e^{-ax_{j})$$

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

$$m=\int_{0}^{\infty}dxf(x)e^{-xg(m)}$$ 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?...