theorems:cpt

# Differences

This shows you the differences between two versions of the page.

 theorems:cpt [2018/04/16 17:49]jakobadmin [Concrete] theorems:cpt [2018/05/05 12:23] (current)jakobadmin ↷ Links adapted because of a move operation Both sides previous revision Previous revision 2018/05/05 12:23 jakobadmin ↷ Links adapted because of a move operation2018/04/16 17:49 jakobadmin [Concrete] 2018/04/16 17:39 jakobadmin [Concrete] 2018/04/16 17:39 jakobadmin [Concrete] 2018/04/16 17:39 jakobadmin [Concrete] 2018/03/29 13:37 kennymann 2018/03/28 08:51 jakobadmin ↷ Links adapted because of a move operation2018/03/26 13:28 jakobadmin [Intuitive] 2018/03/26 13:26 jakobadmin 2018/03/26 13:24 jakobadmin [Concrete] 2018/03/26 13:22 jakobadmin 2018/03/26 13:18 jakobadmin [Abstract] 2018/03/26 13:17 jakobadmin 2018/03/26 13:16 jakobadmin [Abstract] 2018/03/26 13:16 jakobadmin [Abstract] 2018/03/26 13:15 jakobadmin created 2018/05/05 12:23 jakobadmin ↷ Links adapted because of a move operation2018/04/16 17:49 jakobadmin [Concrete] 2018/04/16 17:39 jakobadmin [Concrete] 2018/04/16 17:39 jakobadmin [Concrete] 2018/04/16 17:39 jakobadmin [Concrete] 2018/03/29 13:37 kennymann 2018/03/28 08:51 jakobadmin ↷ Links adapted because of a move operation2018/03/26 13:28 jakobadmin [Intuitive] 2018/03/26 13:26 jakobadmin 2018/03/26 13:24 jakobadmin [Concrete] 2018/03/26 13:22 jakobadmin 2018/03/26 13:18 jakobadmin [Abstract] 2018/03/26 13:17 jakobadmin 2018/03/26 13:16 jakobadmin [Abstract] 2018/03/26 13:16 jakobadmin [Abstract] 2018/03/26 13:15 jakobadmin created Line 15: Line 15: * 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. ​