theorems:cpt

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theorems:cpt [2018/04/16 15:49] jakobadmin [Concrete] |
theorems:cpt [2018/05/05 10:23] (current) jakobadmin ↷ Links adapted because of a move operation |
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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

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