Learning QFT: How to Progress & Suggestions for Senior in High School

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SUMMARY

A senior in high school is seeking guidance on progressing to Quantum Field Theory (QFT) after studying university-level mechanics, electromagnetism (E&M), and quantum mechanics. Key foundational knowledge includes a solid understanding of E&M beyond the basics, as well as proficiency in classical mechanics using Lagrangian and Hamiltonian formalisms. The individual has also studied linear algebra, calculus, and some tensor calculus. Recommendations include deepening E&M knowledge, learning complex analysis, and exploring statistical mechanics to prepare for QFT.

PREREQUISITES
  • University-level mechanics (Halliday/Resnick)
  • Electromagnetism (Griffiths level)
  • Quantum mechanics (Griffiths level)
  • Linear algebra and calculus
NEXT STEPS
  • Deepen understanding of E&M, focusing on Maxwell's equations and advanced topics
  • Learn complex analysis to aid in quantum mechanics and QFT
  • Study statistical mechanics to understand thermodynamic principles relevant to QFT
  • Explore variational calculus in the context of classical mechanics
USEFUL FOR

This discussion is beneficial for high school students, undergraduate physics majors, and anyone interested in transitioning to advanced topics in theoretical physics, particularly Quantum Field Theory.

Gross_joshka
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Hi guys. It's my first post here so I am not sure how this works but I'll give it a try. So I'm a senior in high school and I'm trying to progress my way up to learning QFT. I was wondering what I should do next in my series of things to learn. So far, I've learned the following:
1. Regular mechanics at a university level (Halliday/Resnick level if you like)
2. Most of E&M at the griffiths level; I skipped some bits here and there but I got the main stuff down like Maxwells eq.'s, etc.
3. Quantum mechanics at the level of Griffiths but I haven't learned the later chapters on the wkb approx. and scattering and stuff like that
I also know lin. Alg., calculus of course, and some tensor calc/differential geometry (I studied some lecture notes on GR a while back). So how should I proceed so I can learn QFT? Right now, I am learning the classical mechanics with the lagrangin and hamiltonin formalisms, etc. So that is useful and also getting me acquinted with variational calc. As for relativity, I only know it to the extent of the chapter in Griffiths E&M book. I really think i should learn complex analysis after the mechanics and somewhere want to learn stat. Mech. But i really don't know as there are many directions I can go. Suggestions would be helpful. Thank you
 
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First of all, I feel silly as a senior in undergrad at the same level of knowledge as a senior in high school.

What I can tell you though, is that you will need to know E&M more than just "the main stuff". You'll need to know it in depth.
 

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