S-Matrix in Quantum Field Theory

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SUMMARY

The S-matrix is a fundamental tool in Quantum Field Theory used to compute scattering amplitudes for various processes. To effectively utilize the S-matrix, one must study comprehensive resources such as "An Introduction to Quantum Field Theory" by Peskin & Schroeder. Mastery of the S-matrix requires extensive coursework, as it encompasses complex theoretical concepts that cannot be fully addressed in brief forum discussions. For practical application, a solid understanding of field operators like ##\phi(x,t)## is essential.

PREREQUISITES
  • Quantum Field Theory fundamentals
  • Scattering theory concepts
  • Field operators and their mathematical representation
  • Textbook knowledge from "An Introduction to Quantum Field Theory" by Peskin & Schroeder
NEXT STEPS
  • Study the S-matrix formalism in detail
  • Learn about scattering amplitudes and their calculations
  • Explore advanced topics in Quantum Field Theory
  • Review specific examples of field operators in Quantum Field Theory
USEFUL FOR

Students and researchers in theoretical physics, particularly those focusing on Quantum Field Theory and scattering processes.

gremory
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Usage of the S-matrix
Hello, i need help with the S-matrix. From what i understand, with the S-matrix i would be able to compute the scattering amplitude of some processes, is that correct? If so, how would i be able to do that if i have some field ##\phi(x,t)## in hands? Is that possible?
 
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Study Peskin & Schroeder... :rolleyes:
 
gremory said:
i need help with the S-matrix.
That is more help than is within the scope of a PF thread. You are basically asking for a course in S matrix theory, and for that you need a textbook (such as the one @strangerep suggested), not a PF thread.

gremory said:
From what i understand, with the S-matrix i would be able to compute the scattering amplitude of some processes, is that correct?
Yes. However...

gremory said:
If so, how would i be able to do that if i have some field ##\phi(x,t)## in hands? Is that possible?
It's certainly possible, but as above, learning how to do it takes one or more full-time courses in S-matrix theory. It's not something we're going to be able to teach you in a PF thread.

If, after taking some time to study a textbook, you have particular questions about what you are reading, by all means open a new thread with a much more specific focus. In the meantime, this thread is closed.
 
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