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theorems:cpt

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theorems:cpt [2018/04/16 15:49]
jakobadmin [Concrete]
theorems:cpt [2018/05/05 10:23] (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. ​
theorems/cpt.txt · Last modified: 2018/05/05 10:23 by jakobadmin