On Symmetries in (Anti)Causal (Non)Abelian Quantum Theories
Abstract
Description
(Anti)causal boundary conditions being imposed on the (seemingly) Hermitian Quantum Theory (HQT) as described in standard textbooks lead to an (Anti)Causal Quantum Theory ((A)CQT) with an indefinite metric. Therefore, an (anti)causal neutral scalar field is not Hermitian, as one (anti)causal neutral scalar field consists of a non-Hermitian linear combination of two (Hermitian) acausal fields. Fundamental symmetries in (A)CQT are addressed. The quantum theoretical (transition) probability and antiparticle concepts are revised. Imaginary parts of cross sections and refraction indices are related.
8 pages, no figures; invited contribution to the 5th Int. Conference on "Symmetry in Nonlinear Mathematical Physics", Inst. of Mathematics, National Academy of Sciences of Ukraine, Kyiv (Kiev), Ukraine, June 23-29, 2003
8 pages, no figures; invited contribution to the 5th Int. Conference on "Symmetry in Nonlinear Mathematical Physics", Inst. of Mathematics, National Academy of Sciences of Ukraine, Kyiv (Kiev), Ukraine, June 23-29, 2003