CPT Invariance of Hermitian & Lorentz Lagrangians

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The discussion centers on whether all Hermitian and Lorentz-invariant Lagrangians are invariant under the combination of CPT. It presents a rigorous proof of the CPT theorem, emphasizing that Lorentz invariance is not a prerequisite for CPT symmetry. Additionally, the conversation highlights that the violation of CPT does not imply a violation of Lorentz invariance. The implications of these findings are significant for theoretical physics, particularly in understanding symmetries in quantum field theories. Overall, the relationship between CPT symmetry and Lorentz invariance is complex and warrants further exploration.
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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?
 
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http://users.ox.ac.uk/~mert2255/papers/cpt.pdf

Here is a rigorous proof of the CPT-theorem...
In a general framework, Lorentz invariance is not needed for CPT symmetry to exist. Neither the violation of CPT would necessarily mean the violation of Lorentz invariance.
 

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