QFT Book by Ticciati: Reviews & Readability

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SUMMARY

The discussion centers on the readability and prerequisites of "Quantum Field Theory for Mathematicians" by Robin Ticciati. Users express that while the book is a strong competitor to established texts like "Peskin and Schroeder," it may not be beginner-friendly due to its complex presentation. Key prerequisites identified include familiarity with Hilbert-space formalism, basic principles of special relativity, and a good measure of mathematical maturity. Participants recommend supplementary resources such as the QFT manuscript by Hees and the book "Relativity, Groups, Particles" by Sexl and Urbandtke for better understanding.

PREREQUISITES
  • Familiarity with Hilbert-space formalism of quantum mechanics
  • Basic principles of special relativity
  • Mathematical maturity
  • Understanding of group theory and Lie algebra
NEXT STEPS
  • Study the QFT manuscript by Hees for an elementary treatment of the Poincare group representation theory
  • Read "Relativity, Groups, Particles" by Sexl and Urbandtke for foundational knowledge in relativistic QFT
  • Explore supplementary beginner's QFT resources to build a stronger mathematical foundation
  • Engage in discussions on the QT forum for clarification on specific concepts from the book
USEFUL FOR

Physics students, particularly those studying quantum field theory, as well as educators and researchers seeking to enhance their understanding of advanced quantum mechanics concepts.

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George Jones said:
At this level, I prefer Quantum Field Theory for Mathematicians by Robin Ticciti. This is an excellent quantum field theory book, and, in spite of its title, is not a tome on axiomatic quantum field theory, or a book that emphasizes mathematical rigour. Its presentation is, however, a little less fuzzy than presentations in many other books. It shows how to calculate physical things like cross sections, and is a serious competitor for standard works like Peskin and Schroeder. I wish this book had been available when I was a grad student!
 
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Ok. I purchased the book. However, I am having a hard time following what the author is even trying to explain. It could be the language or my mathematical immaturity - I have no idea. I guess I will just keep trying...

For example, can anybody tell me what the author is trying to say and the logic behind what he is saying in the following two paragraphs?

https://photos.app.goo.gl/ALdh4vV7PwsT6dQz2

https://photos.app.goo.gl/o12tObtXHnmLMI1W2

I am pretty sure I do not have the prerequisite to read this book effectively, but I can't help but thinking, the presentation may be quite fuzzy!

What background do I need to read and understand this book? I know QM (from Sakurai and a few others). I do understand SR and GR. However, I do not know much of group theory or lie algebra or a ton of Hilbert Space formalism.

If you are looking for a context in which the author explains the paragraphs that I mentioned, you could look at this excerpt.

http://www.beck-shop.de/fachbuch/leseprobe/9780521632652_Excerpt_001.pdf
 
Last edited:
smodak said:
Ok. I purchased the book. However, I am having a hard time following what the author is even trying to explain. It could be the language or my mathematical immaturity - I have no idea. I guess I will just keep trying...

For example, can anybody tell me what the author is trying to say and the logic behind what he is saying in the following two paragraphs?

https://photos.app.goo.gl/ALdh4vV7PwsT6dQz2

https://photos.app.goo.gl/o12tObtXHnmLMI1W2

I am pretty sure I do not have the prerequisite to read this book effectively, but I can't help but thinking, the presentation may be quite fuzzy!

What background do I need to read and understand this book? I know QM (from Sakurai and a few others). I do understand SR and GR. However, I do not know much of group theory or lie algebra or a ton of Hilbert Space formalism.

If you are looking for a context in which the author explains the paragraphs that I mentioned, you could look at this excerpt.

http://www.beck-shop.de/fachbuch/leseprobe/9780521632652_Excerpt_001.pdf

From the aforementioned book :

The prerequisites for this presentations are (1) familiarity with Hilbert-space formalism of quantum mechanics (2) assimilation of basic principles of special relativity (3) a goodly measure of mathematical maturity
 
Buffu said:
From the aforementioned book :

The prerequisites for this presentations are (1) familiarity with Hilbert-space formalism of quantum mechanics (2) assimilation of basic principles of special relativity (3) a goodly measure of mathematical maturity
Thanks. Still I am no longer sure the book is written in a clear language or suitable for a beginner.
 
smodak said:
Ok. I purchased the book. However, I am having a hard time following what the author is even trying to explain. It could be the language or my mathematical immaturity - I have no idea. I guess I will just keep trying...

For example, can anybody tell me what the author is trying to say and the logic behind what he is saying in the following two paragraphs?

https://photos.app.goo.gl/ALdh4vV7PwsT6dQz2

https://photos.app.goo.gl/o12tObtXHnmLMI1W2

I am pretty sure I do not have the prerequisite to read this book effectively, but I can't help but thinking, the presentation may be quite fuzzy!

What background do I need to read and understand this book? I know QM (from Sakurai and a few others). I do understand SR and GR. However, I do not know much of group theory or lie algebra or a ton of Hilbert Space formalism.

If you are looking for a context in which the author explains the paragraphs that I mentioned, you could look at this excerpt.

http://www.beck-shop.de/fachbuch/leseprobe/9780521632652_Excerpt_001.pdf
Concerning your physics questions, I suggest you ask in the QT forum. For a quite elementary treatment of the representation theory of the Poincare group, see my QFT manuscript (Appendix B):

https://th.physik.uni-frankfurt.de/~hees/publ/lect.pdf

Another very good book for preparation of learning relativistic QFT is

Sexl, Urbandtke, Relativity, Groups, Particles, Springer Verlag
 
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vanhees71 said:
Concerning your physics questions, I suggest you ask in the QT forum. For a quite elementary treatment of the representation theory of the Poincare group, see my QFT manuscript (Appendix B):

https://th.physik.uni-frankfurt.de/~hees/publ/lect.pdf

Another very good book for preparation of learning relativistic QFT is

Sexl, Urbandtke, Relativity, Groups, Particles, Springer Verlag
Thank you!
 

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