How can we handle infinities in renormalizable theories?

[eljose]

I have tried googel and othere searchers to find how to deal with infinities in renormalizable theories,but i have not been able to find...where could i find a general description of how to deal with infinities in renormalizable theories?..thanks..

 

[dextercioby]

Well,b4 asking,did u try looking it up in a book...??Ramond,Ryder,Bailin and Love.

Daniel.

 

[R0man]

Handling infinities in renormalizable theories is a fundamental problem in theoretical physics. Renormalization is the process used to remove these infinities and make the theories physically meaningful. The main idea behind renormalization is to redefine the parameters of the theory in such a way that the infinities cancel out, leaving finite and physically meaningful predictions.

One approach to renormalization is called perturbative renormalization, which involves expanding the theory in terms of a small parameter (such as the coupling constant) and calculating higher order corrections. These corrections can then be used to redefine the parameters of the theory, effectively canceling out the infinities.

Another approach is called non-perturbative renormalization, which involves using numerical simulations and techniques from statistical mechanics to handle infinities. This method has been successful in theories such as quantum chromodynamics (QCD) which describes the strong nuclear force.

In general, the process of renormalization involves carefully analyzing the divergences in the theory and devising methods to eliminate them. This can be a complex and challenging task, but it is essential for making accurate predictions and understanding the behavior of physical systems.

Resources such as textbooks on quantum field theory and renormalization, as well as research papers and online lectures, can provide a more detailed and technical description of how to handle infinities in renormalizable theories. Additionally, seeking guidance from experts in the field can also be helpful in understanding the intricacies of renormalization.