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Are all the hermitian and lorentz invariant lagrangians, invariant under the combination of CPT?
If yes, how can it be proved?
If yes, how can it be proved?
All Hermitian and Lorentz invariant Lagrangians are indeed invariant under the combination of CPT (Charge, Parity, Time reversal) symmetry. The discussion references a rigorous proof of the CPT theorem, which establishes that Lorentz invariance is not a prerequisite for CPT symmetry. Furthermore, the violation of CPT does not imply a violation of Lorentz invariance, highlighting the independence of these two fundamental symmetries in theoretical physics.
PREREQUISITESThe discussion is beneficial for theoretical physicists, quantum mechanics researchers, and students studying advanced topics in particle physics and field theory.