Alhakami said:
smallphi said:
I have not undergone such a thing as american curriculum. When I say popular, I am talking about the use among professionals. Just walk around in the offices, and you can see for yourself. Your personal opinion has little weight against that, and the reason I reacted to your post is that you called Peskin's work a "phonebook", which I consider insulting. Maybe it is too difficult for you, and you are indeed free to express it.smallphi said:
Well, since you like so much to give your personal opinion, I'll give mine. I studied and introduced myself to QFT with Weinberg's books, which is even more in-depth than Peskin's. Peskin is far from being "difficult". Difficult books on QFT would be for instance at the level of the QFT part of "Quantum fields and strings : a course for mathematicians" in two volumes by IAS. That would be a technical reference professionals would call "phonebook" and not recommand for an introduction.smallphi said:
What percentage of this class per year produces professional ? I don't wish to argue on that anymore, I said what I had to say.smallphi said:
”Dimensional regularization is a mathematical technique used in theoretical physics and quantum field theory to deal with divergent integrals that arise in calculations. It involves extending the number of dimensions in which a calculation is performed, typically from three spatial dimensions to a higher number, and then taking the limit back to the desired number of dimensions.
Dimensional regularization is used because it provides a systematic method for dealing with infinities that appear in calculations in quantum field theory. These infinities are a result of the mathematical formalism used to describe particle interactions, and can be removed through the use of dimensional regularization.
Dimensional regularization works by introducing a parameter, often denoted as d, that represents the number of dimensions in which a calculation is being performed. This parameter is then used to modify the integrals in the calculation, allowing for the removal of infinities. After the calculation is completed, the limit is taken as d approaches the desired number of dimensions, typically three.
Dimensional regularization has several advantages over other methods of dealing with infinities in quantum field theory calculations. It is a more systematic and consistent approach, and it preserves important symmetries that can be broken by other methods. It also allows for easier calculations and avoids the need for ad hoc renormalization procedures.
While dimensional regularization is a powerful and widely used technique, it does have some limitations. It is most effective for calculations involving renormalizable theories, and can encounter difficulties when applied to non-renormalizable theories. Additionally, it may not always provide physically meaningful results, and in those cases, other methods may need to be used.