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theorems:cpt [2018/04/16 17:39]
jakobadmin [Concrete]
theorems:cpt [2018/05/05 12:23] (current)
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   * The canonical commutation or anti-commutation rules hold for the fields.   * The canonical commutation or anti-commutation rules hold for the fields.
  
-Formulated differently,​ the CPT theorem says that any Lorentz invariant local [[theories:​quantum_field_theory|quantum field theory]] with a Hermitian Hamiltonian must be CPT symmetric.+Formulated differently,​ the CPT theorem says that any Lorentz invariant local [[theories:​quantum_field_theory:canonical|quantum field theory]] with a Hermitian Hamiltonian must be CPT symmetric.
  
 From these assumptions it follows that the Lagrangian is also invariant under the produce of C, P, and T , taken in any order. Take note that $C$, $P$, $T$ or any other product of them can be violated, which CPT is intact. This means concretely that we can always choose the phases which appear in C, P, T transformations such that the product of those operators is a symmetry of our theory. ​ From these assumptions it follows that the Lagrangian is also invariant under the produce of C, P, and T , taken in any order. Take note that $C$, $P$, $T$ or any other product of them can be violated, which CPT is intact. This means concretely that we can always choose the phases which appear in C, P, T transformations such that the product of those operators is a symmetry of our theory. ​
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 component transformations. ​ component transformations. ​
  
 +To test the CPT symmetry we compare the masses, lifetimes, electric charges and anomalous magnetic
 +moments of particles with their corresponding antiparticles. Another possibility are detailed analysis of the behaviour of neutral flavoured meson systems.
  
  
  
 +----
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 +  * For a nice discussion see Chapter 5 in “Discrete Symmetries and CP Violation: From Experiment to Theory” by Marco Sozzi
  
  
theorems/cpt.1523893151.txt.gz · Last modified: 2018/04/16 15:39 (external edit)