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
korea_mania
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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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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.
 

1. What is QFT?

Quantum Field Theory (QFT) is a theoretical framework that combines quantum mechanics and special relativity to explain the behavior of subatomic particles. It is used to study the interactions and dynamics of particles at the smallest scales, such as those found in the Standard Model of particle physics.

2. Why is QFT important?

QFT is important because it provides a consistent and accurate description of the fundamental forces and particles in the universe. It has been extensively tested and is considered one of the most successful theories in physics. It is also essential for understanding phenomena such as particle creation and annihilation, and the behavior of systems at extreme energies and densities.

3. How can I start learning QFT?

To begin learning QFT, it is important to have a strong foundation in mathematics, including calculus, linear algebra, and differential equations. It is also helpful to have a basic understanding of quantum mechanics and special relativity. From there, you can start with introductory textbooks and online resources, and then move on to more advanced texts and courses.

4. Is learning QFT difficult?

Yes, learning QFT can be challenging as it requires a deep understanding of advanced mathematical concepts and abstract theoretical ideas. It also involves a lot of complex calculations and equations. However, with dedication and perseverance, it is possible to grasp the fundamental principles and apply them to solve problems in QFT.

5. What are some recommended resources for learning QFT?

Some recommended resources for learning QFT include textbooks such as "Quantum Field Theory for the Gifted Amateur" by Tom Lancaster and Stephen J. Blundell, "Quantum Field Theory" by Mark Srednicki, and "Introduction to Quantum Field Theory" by Michael E. Peskin and Daniel V. Schroeder. Online resources such as lecture notes and video lectures from universities can also be helpful. It is also beneficial to attend seminars and workshops on QFT, and to work through problem sets and practice calculations on your own.

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