Which books say about general proof of renormalization?

In summary, renormalization is a mathematical technique used to remove infinite quantities in calculations, allowing for meaningful and finite results. It is important in physics and other sciences as it enables the inclusion of quantum effects and improves the accuracy of theories and equations. There are several books available that provide a general proof of renormalization. The difficulty of understanding these proofs varies, but with effort, it can be comprehended by individuals with a strong mathematical background. Renormalization is not applicable to all types of mathematical problems, but it has been proven effective in many areas of science and mathematics.
  • #1
fxdung
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Which books in QFT give representations about general proof of renormalization?I know that the book of QFT of Peskin&Schroder does not give the full demontration.
 
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  • #2
At which level do you want such a proof. For all formalities you have to go to the original papers. You find an attempt of the most simple aspects in my manuscript about quantum field theory

http://fias.uni-frankfurt.de/~hees/publ/lect.pdf
 

1. What is renormalization in the context of mathematical proofs?

Renormalization is a mathematical technique used to remove divergences in calculations involving infinite quantities. It allows for the construction of meaningful and finite results in situations where traditional methods fail.

2. Why is renormalization important in physics and other sciences?

Renormalization is crucial in physics and other sciences because it allows for the inclusion of quantum effects in calculations and models. Without renormalization, many important theories and equations would be unable to accurately describe the behavior of complex systems.

3. Are there any books that provide a general proof of renormalization?

Yes, there are several books that provide a general proof of renormalization. Some popular titles include "Renormalization Methods: A Guide for Beginners" by John C. Collins and "Renormalization: An Introduction" by Lars Brink and G. Lozano.

4. How difficult is it to understand the proofs of renormalization?

The difficulty of understanding the proofs of renormalization varies depending on the level of mathematical background and familiarity with the subject. However, with patience and effort, most individuals with a strong foundation in mathematics can grasp the concepts and proofs involved.

5. Can renormalization be applied to any type of mathematical problem?

No, renormalization is typically used in the context of quantum field theory and other physical theories. It may not be applicable to all types of mathematical problems, but it has proven to be an effective technique in many areas of science and mathematics.

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