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

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SUMMARY

Knowledge of scattering theory is not a prerequisite for studying Quantum Field Theory (QFT). A solid understanding of undergraduate-level quantum mechanics and linear algebra is sufficient for introductory QFT courses. For advanced studies, familiarity with Lebesgue integration, distributions, functional analysis, and representations of Lie groups and Lie algebras is beneficial. Perturbation theory is not essential for initial QFT learning, as the necessary concepts will be covered in the course.

PREREQUISITES
  • Undergraduate-level quantum mechanics
  • Linear algebra
  • Lebesgue integration
  • Functional analysis
NEXT STEPS
  • Study Lebesgue integration techniques
  • Learn about distributions in mathematical physics
  • Explore functional analysis concepts
  • Understand representations of Lie groups and Lie algebras
USEFUL FOR

Students and researchers in theoretical physics, particularly those pursuing Quantum Field Theory, as well as anyone looking to strengthen their foundation in advanced mathematical concepts relevant to QFT.

jamesmaxwell
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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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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.
 
Scattering from non-rel QM is good to know, the formalism and concepts are almost the same.
 

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