CPT theorem

E645109

symmetry principle theorem in quantum field theory

The CPT theorem is a fundamental result in quantum field theory stating that any Lorentz-invariant local quantum field theory with a Hermitian Hamiltonian is invariant under the combined operations of charge conjugation (C), parity transformation (P), and time reversal (T).

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Statements (51)

Predicate	Object
instanceOf	symmetry principle ⓘ theorem in quantum field theory ⓘ
abbreviation	CPT theorem NERFINISHED ⓘ
allows	violation of C symmetry alone ⓘ violation of CP symmetry ⓘ violation of CT symmetry ⓘ violation of P symmetry alone ⓘ violation of PT symmetry ⓘ violation of T symmetry alone ⓘ
appliesTo	free quantum field theories ⓘ interacting quantum field theories ⓘ relativistic quantum field theories ⓘ
constrains	possible violations of discrete symmetries in quantum field theory ⓘ
field	quantum field theory ⓘ
forbids	violation of combined CPT symmetry in local Lorentz-invariant QFT ⓘ
fullName	charge conjugation–parity–time reversal theorem NERFINISHED ⓘ
hasMathematicalFramework	Wightman axioms NERFINISHED ⓘ axiomatic quantum field theory ⓘ
historicallyProvedBy	Gerhard Lüders NERFINISHED ⓘ Julian Schwinger NERFINISHED ⓘ Wolfgang Pauli NERFINISHED ⓘ
holdsIn	Minkowski spacetime NERFINISHED ⓘ
implies	equality of magnitudes of particle and antiparticle charges with opposite sign ⓘ equality of particle and antiparticle lifetimes ⓘ equality of particle and antiparticle masses ⓘ existence of antiparticles with related properties to particles ⓘ
impliesInvarianceUnder	combined CPT transformation ⓘ
involvesOperation	charge conjugation ⓘ parity transformation ⓘ time reversal ⓘ
isConsequenceOf	Lorentz invariance and locality in Minkowski spacetime ⓘ microcausality ⓘ unitarity ⓘ
isRelatedTo	Lorentz symmetry NERFINISHED ⓘ Poincaré invariance ⓘ discrete symmetries in quantum field theory ⓘ spin–statistics theorem NERFINISHED ⓘ
isTestedBy	B-meson experiments ⓘ kaon experiments ⓘ neutral meson systems ⓘ precision spectroscopy of particles and antiparticles ⓘ
isUsedIn	high-energy physics experiments ⓘ particle physics ⓘ tests of fundamental symmetries ⓘ
mayFailIf	Hamiltonian is non-Hermitian ⓘ Lorentz invariance is violated ⓘ locality is violated ⓘ
requiresProperty	Hermitian Hamiltonian ⓘ Lorentz invariance ⓘ locality ⓘ
states	any Lorentz-invariant local quantum field theory with a Hermitian Hamiltonian is invariant under CPT ⓘ

Referenced by (1)

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spin–statistics theorem → isRelatedTo → CPT theorem ⓘ