Self-Study QFT: Prerequisites for Feynman Diagrams, QED & More

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SUMMARY

To effectively study Quantum Field Theory (QFT) 1, foundational knowledge in Quantum Mechanics (QM) is essential, particularly the axioms of quantum mechanics as outlined in Griffiths' "Introduction to Quantum Mechanics." Key topics include Hilbert space, state vectors, the Schrödinger equation, commutation relations, and observables. It is advisable to be familiar with both the Schrödinger and Heisenberg pictures of time evolution. Alternative resources such as Mandl and Shaw's textbook and "QFT for the Gifted Amateur" are recommended for a more accessible introduction to QFT concepts.

PREREQUISITES
  • Quantum Mechanics fundamentals from Griffiths' "Introduction to Quantum Mechanics"
  • Understanding of Hilbert space and state vectors
  • Familiarity with the Schrödinger equation and commutation relations
  • Knowledge of the Schrödinger and Heisenberg pictures of time evolution
NEXT STEPS
  • Study the axioms of quantum mechanics in detail
  • Read Mandl and Shaw's textbook for an easier introduction to QFT
  • Explore "QFT for the Gifted Amateur" for a more accessible understanding of QFT
  • Investigate the relativistic formulation of electrodynamics
USEFUL FOR

Physics students, self-learners in quantum mechanics, and anyone preparing for Quantum Field Theory courses will benefit from this discussion.

quantumdarkmatter
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Summary:: I want to study QFT 1 in the upcoming semester, so what are the prerequisites to study it. By QFT 1 I mean Classical field theory, Canonical Quantization, Feynman Diagrams, and QED.

I am trying to self study QM from Griffiths' Introduction to Quantum Mechanics book. What are the sub topics in QM that are required to understand QFT at the level of Feynman Diagrams, QED processes etc. basically Part 1 of Peskin and Schroeder textbook.
 
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Is it better to do QFT 1 by self studying Quantum and Classical mechanics or wait for the formal courses which will happen in next year as two semester course and then take QFT the following year.

Or I could study relativistic formulation of electrodynamics now and extend this study to study General Relativity in a short break I would have in winter.
 
quantumdarkmatter said:
Is it better to do QFT 1 by self studying Quantum and Classical mechanics or wait for the formal courses which will happen in next year as two semester course and then take QFT the following year.

Or I could study relativistic formulation of electrodynamics now and extend this study to study General Relativity in a short break I would have in winter.
Are you studying physics at university?
 
I would not recommend study Peskin's book directly. It may be too difficult.

You could check this website, https://physics.ac/how-to-learn-qft/ .

It lists the basic prerequisites and recommend different books.
 
PeroK said:
Are you studying physics at university?
Yeah
 
quantumdarkmatter said:
I am trying to self study QM from Griffiths' Introduction to Quantum Mechanics book. What are the sub topics in QM that are required to understand QFT at the level of Feynman Diagrams, QED processes etc. basically Part 1 of Peskin and Schroeder textbook.
From Griffiths you need to know the axioms of quantum mechanics (Hilbert space, state vector, Schroedinger equation, commutation relations, observables and measurement), and be comfortable with both Schroedinger and Heisenberg pictures of time evolution.

Some approaches to QFT at an easier level than Peskin and Schroeder are Mandl and Shaw, and non-relativistic QFT from the view of condensed matter physics, which is just a language for non-relativistic quantum mechanics of many identical particles. QFT for the gifted amateur has gotten good reviews from many, although I haven't read it.
 

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