CPT Symmetry

  • #1

Main Question or Discussion Point

Is weak interaction invaraint under CPT Symmetry? Why?
 

Answers and Replies

  • #2
blechman
Science Advisor
779
8
yes it is. it is a theorem that all quantum field theories that satisfy relatively weak conditions (locality, unitarity, S-matrix,...) are CPT-invariant. weak interactions are no exception. you can prove it by referring to that theorem, or by just brute-force transforming the action under CPT and seeing that it's invariant.
 
  • #3
would you please expline further? How can I prove that?
 
  • #4
Haelfix
Science Advisor
1,948
210
Proof of the CPT theorem is nontrivial and requires quite a bit of background. But it is a deep and important mathematical truism about quantum field theories.

There are various books that treat it in varying degrees of rigor. I think Weinberg proves it in his volumes, and for a more mathematical treatment see Streeter/Wightman.

Incidentally people look for violation of the CPT experimentally, so far without success. But it would be a big deal if one day such a fundamental symmetry was broken. It would mean probably that we would need to go back to Constructive field theories for insight.
 

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