Any Lorentz-invariant local quantum field theory is invariant under the combined operation of charge conjugation, parity inversion and time reversal, applied together. A foundational result of relativistic quantum field theory, it underlies the prediction that every particle has an antiparticle with identical mass.
Facts
StatementThe theorem states that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have combined charge conjugation, parity inversion and time reversal symmetry, taken together. 1 Proof YearSchwinger's 1951 work carried the result implicitly. Luders and Pauli gave explicit proofs in 1954, matched independently around the same time by Bell, and Jost gave a more general proof in 1958. Classification
Statement FormCharacterization Theorem 1 Connections
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Also in Science Atlas: credited with this subject.
Also in Science Atlas: credited with this subject.
Sources
1. CPT Theorem (Wikipedia)
Wikimedia FoundationWikipedia, CPT symmetry, lead section
The CPT theorem says that CPT symmetry holds for all physical phenomena, or more precisely, that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have CPT symmetry.
Wikipedia, CPT symmetry, History section
In 1954, Gerhart Lüders and Wolfgang Pauli derived more explicit proofs, so this theorem is sometimes known as the Lüders-Pauli theorem.
In Group: Quantum Mechanics and Quantum Field Theory, Article text
CPT is the only combination of C, P, and T that is observed to be an exact symmetry of nature at the fundamental level. The CPT theorem says that CPT symmetry holds for all physical phenomena, or more precisely, that any Lorentz invariant local quantum field theory with a Hermitian Hamiltonian must have CPT symmetry.
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