On Symmetries in (Anti)Causal (Non)Abelian Quantum Theories

Details On Symmetries in (Anti)Causal (Non)Abelian Quantum Theories On Symmetries in (Anti)Causal (Non)Abelian Quantum Theories

2003-10-21

arxiv.org/abs/hep-th/0310204v1

EconfC0306234:1367-1374,2003; Proc.Inst.Math.NASUkraine50:1367,2004

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures; invited contribution to the 5th Int. Conference on "Symmetry in Nonlinear Mathematical Physics", Inst. of

Scientific paper

(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.

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