The Power of Quantum Field Theory: Tips for Studying at 15

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SUMMARY

The discussion centers on a 15-year-old's passion for Quantum Field Theory (QFT) and the challenges he faces with parental approval. Participants emphasize the importance of foundational knowledge in mathematics, specifically linear algebra, calculus, and function theory, as prerequisites for understanding QFT. They also highlight the necessity of grasping concepts from quantum mechanics, special relativity, and electromagnetism. Engaging with peers through a Physics or Math Club is recommended to foster a supportive learning environment.

PREREQUISITES
  • Linear Algebra
  • Calculus
  • Function Theory
  • Ordinary Quantum Mechanics
NEXT STEPS
  • Join or start a Physics Club at school
  • Study Special Relativity using four-vector notation
  • Learn about Electromagnetism in a relativistic framework
  • Explore advanced topics in Complex Analysis and Partial Differential Equations (PDEs)
USEFUL FOR

Students interested in physics, particularly those aspiring to study advanced topics like Quantum Field Theory, as well as educators and mentors guiding young learners in the field of physics.

Moayd Shagaf
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I'm 15 years old boy, and I have pure interest in physics , and I really love to study things like Quantum Field Theory, but my dad won't let me! so how I deal with him?
 
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If you are doing great in all of your classes at school, he should probably be okay with you doing extra studying. How are you doing in school? Does your school have a Physics Club?
 
will I'm good in my school , he said to me this is an adult things , and you waste your time! but I have an excellent grades in Math and Physics , actually I have the best grade in physics in the entire school!
 
Is there something else he wants you to study instead? As long as you are comfortable learning more math and physics, you can start to learn more advanced subjects early. Have you studied Calculus yet? At what level?
 
Moayd Shagaf said:
I'm 15 years old boy, and I have pure interest in physics , and I really love to study things like Quantum Field Theory, but my dad won't let me! so how I deal with him?

Your dad is right ;) Quantum field theory is typically taught at a university to students who had about 5 semesters of advanced mathematics. Your ambition is honorable. Ask your dad to explain special relativity or something.
 
berkeman said:
Is there something else he wants you to study instead? As long as you are comfortable learning more math and physics, you can start to learn more advanced subjects early. Have you studied Calculus yet? At what level?
Well, we will learn calculus next year! but actually I already Learned It to my self! I also learn other things learn complex analysis,PDEs
 
Do you think It will be good if I have a physicists friends?
 
Moayd Shagaf said:
Do you think It will be good if I have a physicists friends?
Of course, that is why I asked if your school has a Physics Club. Or a Math Club? If not, consider talking to your teachers to see if they can help you start one... :smile:
 
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berkeman said:
Of course, that is why I asked if your school has a Physics Club. Or a Math Club? If not, consider talking to your teachers to see if they can help you start one... :smile:
Yes It actually have, Thanks Guys I'll i think it surely be work :smile:
 
  • #10
Moayd Shagaf said:
Well, we will learn calculus next year! but actually I already Learned It to my self! I also learn other things learn complex analysis,PDEs
Don't get stopped by answers using "later", "at university" or similar nonsense. I remember when I was in my late high school years and I asked my math teacher what a gradient is, because I've read it in a book about particle physics which I borrowed from the library, he answered that it is something learned at the university and too difficult to explain. I became (and still am) angry about this answer, the moment I realized what it is and that it had been quite easy for him to explain to me. Maybe he had forgotten it himself, but then he should have said so. It isn't shameful something not to know, but to hide behind excuses is. So don't get stopped. Most things aren't that difficult, once you understood the ideas and concepts behind. The main barrier is to get used to the different ways of thinking. To understand QFT you certainly need to understand some fundamentals in mathematics first: linear algebra, calculus and function theory. So one of the hurdles are the mathematical tools, which are needed because it is the language the physical knowledge is written in. But the sky is the limit! It can be learnt, and if you have questions, you'll always be welcome to turn to PF and ask.
 
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  • #11
fresh_42 said:
To understand QFT you certainly need to understand some fundamentals in mathematics first: linear algebra, calculus and function theory.
There are also physics prerequisites, e.g. "ordinary" quantum mechanics; special theory of relativity using four-vectors; and electromagnetism as formulated in a relativistic way using four-vector notation.
 
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  • #12
fresh_42 said:
Don't get stopped by answers using "later", "at university" or similar nonsense.

While I agree with this, there is also the other side of the coin: self-taught people who end up getting only a very superficial knowledge, usually because they try and whip through the material. Our younger members seem particularly susceptible to this.
 

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