S-Matrix in Quantum Field Theory

[gremory]

TL;DR

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?

 

[strangerep]

Study Peskin & Schroeder...

 

[PeterDonis]

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.

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...

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.