Math QFT Books: Arnold, Takhtajan & Beyond

In summary, there are several QFT books written from a mathematical perspective, including Dimock's and Rivasseau's books which are more focused on CQFT, as well as Haag's AQFT. Another book to consider is Quantum Field Theory: A Tourist Guide for Mathematicians by Gerald Folland, which offers a balance between physics and mathematics in its coverage of QFT. Folland's book aims to provide mathematical rigor where possible, while also acknowledging the current limitations in making physicists' calculations mathematically rigorous.
  • #1
Maybe_Memorie
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Are there any QFT books written from a mathematical perspective? Something in the same vain as V. Arnolds Mechanics and Takhtajan's QM.

Thanks.
 
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  • #3
You might be interested in Quantum Field Theory: A Tourist Guide for Mathematicians by Gerald Folland

https://www.amazon.com/dp/0821847058/?tag=pfamazon01-20

Although Folland doesn't cover as much as physics texts such as Schwartz or Peskin and Schroeder, Folland does cover a lot more than most rigourous math books on quantum field theory. Folland uses mathematical rigour where possible, and where physicists' quantum field theory calculations have yet to be made mathematically rigourous, Folland states the mathematical difficulties, and then pushes through the physicists' calculations.

I've been waiting for many years for someone to write this book, and now I don't have time to read it.
 
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Related to Math QFT Books: Arnold, Takhtajan & Beyond

1. What is QFT?

QFT stands for Quantum Field Theory, which is a theoretical framework used to describe the behavior of particles at a subatomic level. It combines principles of quantum mechanics and special relativity to understand and predict the behavior of particles and their interactions.

2. Who are Arnold and Takhtajan?

Vladimir Arnold and Leon Takhtajan are two prominent mathematicians who have made significant contributions to the field of QFT. They co-authored the book "Mathematical Methods of Classical Mechanics", which is considered a classic in the field and has been influential in the development of QFT.

3. What sets "Math QFT Books: Arnold, Takhtajan & Beyond" apart from other QFT books?

This book focuses specifically on the mathematical foundations of QFT, providing a rigorous and comprehensive treatment of the subject. It also includes discussions on recent developments and applications, making it a valuable resource for both beginners and experts in the field.

4. Is this book suitable for self-study?

Yes, this book can be used for self-study as it is well-structured and includes detailed explanations and examples. However, it is recommended to have a solid understanding of mathematical concepts such as calculus, linear algebra, and complex analysis before diving into this book.

5. Are there any prerequisites for reading this book?

As mentioned before, a strong foundation in mathematics is necessary for understanding this book. Additionally, some familiarity with quantum mechanics and special relativity would be helpful, but not essential.

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