# zbMATH — the first resource for mathematics

Charge conjugation from space-time inversion. (English) Zbl 1171.83301
Summary: We show that the $$CPT$$ group of the Dirac field emerges naturally from the $$PT$$ and $$P$$ (or $$T$$) subgroups of the Lorentz group.

##### MSC:
 83A05 Special relativity 83C50 Electromagnetic fields in general relativity and gravitational theory
##### Keywords:
$$CPT$$ group; space-time inversion; Lorentz group
Full Text:
##### References:
 [1] Asche, D.: An Introduction to Groups. Hilger, Bristol (1989) · Zbl 0768.20001 [2] Greenberg, O.W.: Why is CPT fundamental? Found. Phys. 36, 1535–1553 (2006). hep-ph/0309309 · Zbl 1106.81056 · doi:10.1007/s10701-006-9070-z [3] Jost, R.: Eine Bemerkung zum CPT-Theorem. Helv. Phys. Acta 30, 409–416 (1957) · Zbl 0085.43305 [4] Lawson, H.B. Jr., Michelsohn, M.L.: Spin Geometry. Princeton University Press, Princeton (1989) · Zbl 0688.57001 [5] Socolovsky, M.: The CPT group of the Dirac field. Int. J. Theor. Phys. 43, 1941–1967 (2004). math-ph/0404038 · Zbl 1073.81033 · doi:10.1023/B:IJTP.0000049003.90851.60 [6] Sternberg, S.: Group Theory and Physics. Cambridge University Press, Cambridge (1994) · Zbl 0816.53002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.