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

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Discussion Overview

The discussion centers on the prerequisites for studying Quantum Field Theory (QFT), specifically focusing on the foundational knowledge required to understand concepts such as Feynman Diagrams and Quantum Electrodynamics (QED). Participants explore whether to self-study or wait for formal courses, and they share resources and recommendations for preparatory materials.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant inquires about the specific subtopics in Quantum Mechanics (QM) necessary for understanding QFT at the level of Feynman Diagrams and QED, referencing Griffiths' textbook.
  • Another participant questions whether to self-study QFT 1 or wait for formal courses, suggesting the possibility of studying relativistic electrodynamics and General Relativity in the interim.
  • A suggestion is made to consider alternative texts to Peskin and Schroeder, with recommendations for Mandl and Shaw, and a non-relativistic approach to QFT from condensed matter physics.
  • One participant emphasizes the importance of understanding the axioms of quantum mechanics, including Hilbert space, state vectors, and time evolution in both the Schrödinger and Heisenberg pictures.
  • Resources such as a website listing basic prerequisites and different recommended books for learning QFT are shared.

Areas of Agreement / Disagreement

Participants express differing opinions on the best approach to studying QFT, with some advocating for self-study and others suggesting waiting for formal courses. There is no consensus on the best preparatory materials or methods.

Contextual Notes

Limitations include the varying levels of difficulty of recommended texts and the potential gaps in knowledge that may arise from self-study versus formal education. The discussion reflects a range of perspectives on the prerequisites for QFT without resolving which approach is superior.

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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