What are the prerequisites to study quantum field theory?

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SUMMARY

To study Quantum Field Theory (QFT), a solid foundation in several key areas is essential. Prerequisites include a strong understanding of classical mechanics, quantum mechanics, and advanced mathematics, particularly linear algebra and calculus. Resources such as introductory QFT textbooks often outline the expected knowledge base for students. Engaging with these materials will provide clarity on the necessary background before delving into QFT.

PREREQUISITES
  • Classical Mechanics
  • Quantum Mechanics
  • Advanced Mathematics (Linear Algebra and Calculus)
  • Familiarity with QFT introductory textbooks
NEXT STEPS
  • Study Classical Mechanics using resources like "Classical Mechanics" by Herbert Goldstein
  • Learn Quantum Mechanics through "Principles of Quantum Mechanics" by R. Shankar
  • Master Linear Algebra with "Linear Algebra Done Right" by Sheldon Axler
  • Explore introductory Quantum Field Theory texts such as "An Introduction to Quantum Field Theory" by Michael Peskin
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This discussion is beneficial for aspiring physicists, undergraduate students in physics, and anyone interested in pursuing advanced studies in Quantum Field Theory.

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Summary:: What are the prerequisites to study quantum field theory?

What are the prerequisites to study quantum field theory?
 
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It might also be a good idea to look at the introduction/preface of some qft books you are interested in studying, there authors typically say what they expect students to know, and sometimes where they intend to start from more basic foundations than other authors.

I don't think there is a really general answer to that. You can study QFT from a very pragmatic point of view (“teach me how to calculate these numbers”) or from a rather formal mathematical (physics) point of view, or anything in between. Those will obviously have quite different prerequisite.
 
Your profile says that you have not finished high school. Do you ask this because you want to know what courses to take when your and undergrad student?

If you ask this because you want to study quantum field theory while you're still in high school, then I think that you're jumping the gun. What is your background in mathematics? What is your background in classical mechanics? What is your background in quantum mechanics? Be specific.
 

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