Need Advice on self-learning particle physics

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Discussion Overview

The discussion revolves around self-learning particle physics, with a specific focus on quantum field theory (QFT). Participants share their educational backgrounds and seek advice on the necessary mathematical and theoretical foundations required to study QFT effectively.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant expresses a desire to study QFT but is uncertain about how to start, given their previous studies in various physics and mathematics subjects.
  • Another participant recommends the book "Particles and Nuclei: An Introduction to the Physical Concepts" by Povh et al. as a starting point.
  • A question is posed regarding which mathematics books should be read prior to studying QFT.
  • Concerns are raised about the adequacy of the participant's background, with one participant noting that Serway is a freshman-level text and that QFT is typically taught at the graduate level.
  • Another participant suggests a structured approach to learning, emphasizing the importance of classical mechanics, special relativity, classical field theory, and quantum mechanics, along with specific book recommendations for each area.
  • Mathematical prerequisites for QFT are discussed, including linear algebra, real analysis, complex analysis, and functional analysis, with various book recommendations provided.
  • Specific introductory texts for QFT are suggested, including works by Mark Srednicki, Peskin-Schroeder, Ryder, and Zee, along with a reference to Stephen Weinberg's book series.
  • There is mention of the importance of understanding Lie groups and their representations in the context of QFT.

Areas of Agreement / Disagreement

Participants express differing views on the adequacy of the original poster's background for studying QFT, with some suggesting it is insufficient while others provide pathways to build the necessary knowledge. Multiple competing views on the appropriate sequence of study and resources remain unresolved.

Contextual Notes

Participants highlight the need for a solid foundation in various areas of physics and mathematics before approaching QFT, but there is no consensus on a definitive sequence or set of resources that would universally apply.

ngkamsengpeter
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I plan to study particle physics especially about the quantum field theory but i don't know how to start with.

I have studied mechanics,modern physics,electromagnetism using Serway Physics for Sciencetist and Engineers.I have also studied Waves and Vibrations using H.J Paind Book and also French book.I have studied Thermodynamics using Zemansky book.

I have study calculus using Thomas Calculus and Stewart Calculus ,Complex analysis, linear algebra , vector calculus and Ordinary Differential Equations using Advance Engineering Mathematics by Kreyszig.

So what is the next thing should i study? Please suggest some good books for me.
Besides,do my current knowledge enough for studying theoretical classical mechanics.
 
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Try "Particles and Nuclei: An Introduction to the Physical Concepts" by Povh et al. I am sure you can find it somewhere on the internet.
 
What math book should i read before learning quantum field theory?
 
Whoa, whoa, whoa!

Serway is a freshman level physics book. QFT is normally taught to second-year graduate students. You are not going to make up four years of full-time education by reading one book.
 
I am not meaning to read only one book. But i don't know what maths books should i read before reading the book about quantum fields theory.Someone can suggest a series of book that i should read in sequence in order to learn QFT
 
Okay, so I'll give it a try:

At first you should be familiar with the methods used in classical mechanics ( Symmetries <-> conserved quantities, Lagrangian Mechanics and Hamiltonian mechanics mostly). On books: Goldstein , Budo or Landau Lifgarbagez are good books on that topic.
You should know the basics of special relativity.
You should be familiar with classical field theory, here electrodynamics is the classic prototype. Jackson is a very comprehensive book on that topic, but there probably better books.
Quantum Mechanics is extremely important in order to study QFT, good books are shankar, messiah, cohen-tannoudji , sakurai and landau-lifgarbagez. Shankar is a nice introduction. Messiah and Cohen Tannoudji are good references. Sakurai and Landau Lifgarbagez are good in order to delve deeper into the topic.
Picking up a basic knowledge about particle and nuclear physics is a good idea in order to get an intuition about the topic. Books on that would be the one by Brian R. Martin or Perkins.
That's the physics side.

You need quite a bit of math to really successful study QFT. I would assume a basic knowledge in linear algebra and real analysis (on the usual level one learns during a bachelor's degree).
A book which I really recommend is Analysis by Lieb and Loss, it's not important in order to learn QFT, it's an Analysis book written by mathematical physicists, there are lot of points covered which physicists usually sweep under the rug. There are a few chapters on distributions, which are used quite often in QFT, so it's a good idea to get some knowledge about the math that lies behind it.
Some knowledge on Complex Analysis is very important.
There is a nice free ebook on complex analysis by george cain from georgia tech.
A bit of knowledge about functional analysis in the context of physics could be handy but isn't mandatory.
The book by Reed and Simon is a good introduction to that for physicists.

Now we come to the most important part, QFT:
As an introduction I would suggest the book by Mark Srednicki (it's available online on his homepage).
Other good introductory books include Peskin-Schroeder, Ryder, Zee.
As a reference I would recommend the book series by Stephen Weinberg.
In parallel to studying QFT it's a good idea to pick up something about Lie-Groups and their representations. (They are the most important ingredient in order to construct a QFT)
 
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