Is knowledge of scattering theory necessary for studying Quantum Field Theory?

In summary, the individual is seeking guidance on which lectures they should have previously taken in preparation for studying QFT. They have already taken undergraduate level courses in quantum mechanics and mathematical physics. They also express concern about their understanding of perturbation and scattering theory. The response states that for introductory QFT courses, a basic understanding of quantum mechanics and linear algebra is sufficient and that further concepts will be explained in the course. For more in-depth study, knowledge of Lebesgue integration, distributions, functional analysis, and representations of Lie groups and Lie algebras may be necessary. It is also mentioned that knowledge of scattering from non-relativistic quantum mechanics can be helpful.
  • #1
jamesmaxwell
7
0
Please let me know what lecture I have to previously take.
I already took undergraduate level lecture of quantum mechanics and mathematical physics.

And I also want to know that perturbation and scattering theory is hardly important on studying QFT..I'm so worry about that I didn't study hard when my professor dealt with that contents.



Thanks in advance and please be lenient my English cause I'm not from the English-speaking world so I do not speak English well...
 
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  • #2
jamesmaxwell said:
Please let me know what lecture I have to previously take.
I already took undergraduate level lecture of quantum mechanics and mathematical physics.

And I also want to know that perturbation and scattering theory is hardly important on studying QFT..I'm so worry about that I didn't study hard when my professor dealt with that contents.
For almost all introductory QFT classes it's sufficient to know the basics of quantum mechanics and linear algebra. Don't worry about not knowing any kind of perturbation theory already. Everything you need will be explained in the QFT course.

If you intend to go very deep into the subject, you will also have to learn about Lebesgue integration, distributions, functional analysis, and representations of Lie groups and Lie algebras.
 
  • #3
Scattering from non-rel QM is good to know, the formalism and concepts are almost the same.
 

1. What is Quantum Field Theory?

Quantum Field Theory is a theoretical framework used to describe the behavior and interactions of subatomic particles and their corresponding fields. It combines principles of quantum mechanics and special relativity to explain the fundamental forces of nature.

2. Why is Quantum Field Theory important?

Quantum Field Theory is important because it provides a deeper understanding of the fundamental laws of nature, including the behavior of particles and their interactions. It also serves as the basis for many modern theories, such as the Standard Model of particle physics.

3. What are the prerequisites for studying Quantum Field Theory?

To study Quantum Field Theory, one must have a strong foundation in classical mechanics, quantum mechanics, and special relativity. Knowledge of linear algebra and calculus is also essential.

4. What are the applications of Quantum Field Theory?

Quantum Field Theory has a wide range of applications in fields such as particle physics, cosmology, condensed matter physics, and quantum computing. It is also used in the development of new technologies, such as quantum sensors and quantum communication systems.

5. Is it necessary to have advanced mathematical skills to study Quantum Field Theory?

Yes, having advanced mathematical skills is crucial for studying Quantum Field Theory. It involves complex mathematical concepts such as group theory, differential equations, and functional analysis. However, with dedication and practice, these skills can be developed and honed.

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