caa a22 4500 467906327 CHVBK 20180406152835.0 cr unu---uuuuu 170328e20061001xx s 000 0 eng 10.1007/s10701-006-9070-z doi (NATIONALLICENCE)springer-10.1007/s10701-006-9070-z Greenberg O. Center for Theoretical Physics, Department of Physics, University of Maryland, 20742-4111, College Park, MD, USA aut Why is $$\mathcal{CPT}$$ Fundamental? [Elektronische Daten] [O. Greenberg] Lüders and Pauli proved the $$\mathcal{CPT}$$ theorem based on Lagrangian quantum field theory almost half a century ago. Jost gave a more general proof based on "axiomatic” field theory nearly as long ago. The axiomatic point of view has two advantages over the Lagrangian one. First, the axiomatic point of view makes clear why $$\mathcal{CPT}$$ is fundamental—because it is intimately related to Lorentz invariance. Secondly, the axiomatic proof gives a simple way to calculate the $$\mathcal{CPT}$$ transform of any relativistic field without calculating $$\mathcal{C}$$ , $$\mathcal{P}$$ and $$\mathcal{T}$$ separately and then multiplying them. The purpose of this pedagogical paper is to "deaxiomatize” the $$\mathcal{CPT}$$ theorem by explaining it in a few simple steps. We use theorems of distribution theory and of several complex variables without proof to make the exposition elementary. Springer Science+Business Media, Inc., 2006 CPT theorem nationallicence general quantum field theory nationallicence Lorentz covariance nationallicence Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/10(2006-10-01), 1535-1553 0015-9018 36:10<1535 2006 36 10701 https://doi.org/10.1007/s10701-006-9070-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10701-006-9070-z text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Greenberg O. Center for Theoretical Physics, Department of Physics, University of Maryland, 20742-4111, College Park, MD, USA aut NATIONALLICENCE 773 0- Foundations of Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 36/10(2006-10-01), 1535-1553 0015-9018 36:10<1535 2006 36 10701 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer