Gauge Theories on Particle Physics

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SUMMARY

The discussion centers on recommended resources for learning gauge theories and particle physics, particularly after studying Shankar's "Principles of Quantum Mechanics." Participants suggest key texts, including Schwartz's "Quantum Field Theory and the Standard Model" (Cambridge University Press, 2014) and Landau/Lifshitz's Volume II on classical electromagnetism for a solid foundation in special relativity. The consensus is that while Shankar is sufficient for quantum mechanics, familiarity with special relativity and tensor manipulation is essential for tackling gauge theories. Aitchison and Hey's book is mentioned as a comprehensive resource, though opinions on its pedagogical effectiveness vary.

PREREQUISITES
  • Familiarity with quantum mechanics, specifically Shankar's "Principles of Quantum Mechanics."
  • Understanding of special relativity, ideally through Landau/Lifshitz Volume II.
  • Knowledge of tensor manipulation techniques.
  • Basic concepts of classical electromagnetism.
NEXT STEPS
  • Study Schwartz's "Quantum Field Theory and the Standard Model" for an in-depth understanding of gauge theories.
  • Read Landau/Lifshitz Volume II to solidify knowledge of special relativity and its applications in electromagnetism.
  • Explore the Feynman Lectures Volume II for additional insights into classical electromagnetism.
  • Investigate Aitchison and Hey's book for a comprehensive self-study resource on gauge theories.
USEFUL FOR

Students and researchers in theoretical physics, particularly those focusing on quantum field theory, gauge theories, and particle physics. This discussion is beneficial for anyone seeking structured learning paths and recommended texts in these advanced topics.

Andreol263
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Well, I'm planning to learn from this book when i finish Shankar's Principles of Quantum Mechanics, if it fulfills the requiriments in this part, but from where i can learn the Special Relativity necessary to tackle this book?
 
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Which book are you taking about? There are tons of books on gauge theories and the standard model. My favorite is

Schwartz, M. D.: Quantum field theory and the Standard Model, Cambridge University Press, 2014

Concerning special relativity, I recommend to read Landau/Lifshitz vol. II on classical electromagnetism (it also contains a very good introduction to general relativity, but this you won't need to start with QFT). It is the only book I know which really takes the modern (and in my opinion most satisfactory) approach to introduce E&M as a classical relativistic field theory. Another good introduction can be found in the Feynman Lectures vol. II.
 
Andreol263 said:
https://www.amazon.com/gp/product/1466513179/?tag=pfamazon01-20
This book, so will suffice if i read Shankar? Or i will need to read Sakurai too?
These are excellent books. I think that Shankar is sufficient for QM (and Sakurai is really not a great textbook to learn from, in my opinion). But you definitely need to be very at ease with special relativity and with tensor manipulation.
 
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I'm not so enthusiastic about Aitchison and Hey. I don't know Shankar's textbook very well. Sakurai, from which I learned QM in my introductory course lecture, is excellent.
 
Thank you for yours answers!, so like recommended by vanhees71 i will get Landau Volume II, thank you all!
 
vanhees71 said:
I'm not so enthusiastic about Aitchison and Hey. I don't know Shankar's textbook very well. Sakurai, from which I learned QM in my introductory course lecture, is excellent.
That shows how picking books is subjective. That's why I never say that a book is great or a book is bad, I can only say that something is good or bad, in my opinion.
 
I Don't know, i picked up the Aitchison and Hey's book because it appears to have more content and good for self-studying, because this book has two volumes that summed up go to nearly 1000 pages!
 
Andreol263 said:
I Don't know, i picked up the Aitchison and Hey's book because it appears to have more content and good for self-studying, because this book has two volumes that summed up go to nearly 1000 pages!
Ok, but they also make a lot of effort to be pedagogical, I find.
 

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