4
$\begingroup$

The LSZ formula shows how to obtain the S-matrix elements from the time-ordered correlation functions of the interacting fields.

I wonder if there is a reverse formula; that is, can we find the interacting correlation functions given that we have full information on the S-matrix?

Could anyone please help me?

$\endgroup$
0

1 Answer 1

3
$\begingroup$

For the reversed LSZ reduction formula that starts from an $S$-matrix element and yields the corresponding correlation function, see e.g. eq. (7.42) in Peskin & Schroeder or this related Phys.SE post.

$\endgroup$
2
  • 1
    $\begingroup$ Strictly speaking this does not prove that it is not possible, since (sufficiently nice) analytic functions can be reconstructed given their pole structure. $\endgroup$ Commented Nov 10, 2022 at 16:17
  • $\begingroup$ I updated the answer. $\endgroup$
    – Qmechanic
    Commented Nov 10, 2022 at 22:23

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.