Anyone know how to begin learning QFT?

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In summary, the conversation discussed the confusion surrounding the correct pathway to understand Quantum field theory. Different topics such as many-body quantum theory, statistical mechanics, and relativistic quantum mechanics were mentioned as potential starting points. Some books introduce QFT as the correct framework for combining special relativity and quantum mechanics, while others introduce QED and QCD together with gauge theories and lie groups. Others suggest studying statistical mechanics and statistical field theory before delving into QFT. The conversation also touched on the relationship between QFT and other quantum systems. The speaker requested clear definitions of many-body quantum theory, relativistic quantum mechanics, and quantum field theory, and sought advice on where to begin. The response was to start by building a strong foundation in undergraduate physics
  • #1
I am currently a final year undergrad trying to understand Quantum field theory. However, the correct pathway to reach QFT is not so obvious.

Topics like many-body quantum theory, statistical mechanics, relativistic quantum mechanics keep showing up. Some field theory books introduce QFT as the correct framework to combine special relativity and quantum mechanics. Some particle physics books introduce QED and QCD together with the notion of gauge theories and lie group. Some statistical mechanics book will introduce the method of second quantization and renormalization to deal with the interacting system.

1. If QFT is indeed a relativistic version of quantum theory, how about relativistic quantum mechanics such as the Dirac equation and Klein-Gordan equation?
2. If QFT has to deal with a large number of degrees of freedom, is statistical mechanics and statistical field theory required before touching any QFT?
3. If QFT is treating all kind of particles as some kind of excitation of the corresponding fields, is it simply the application of the modern quantum theory on all the other quantum systems?

Can anyone just give me a clear definition of ''many-body quantum theory'', ''relativistic quantum mechanics'', ''quantum field theory''? And also, where should I begin?
 
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  • #2
I think you should begin by learning undergrad physics. As you point out, QFT builds upon a broad foundation. You want to have that foundation rock solid.
 

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