theorems:cpt
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theorems:cpt [2018/04/16 17:39] jakobadmin [Concrete] |
theorems:cpt [2018/05/05 12:23] (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. | ||
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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. | ||
| + | ---- | ||
| + | |||
| + | * 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)
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