Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-03-18
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, LaTex
Scientific paper
The discrete symmetries of the Lorentz group are on the one hand a `complex' interplay between linear and anti-linear operations on spinor fields and on the other hand simple linear reflections of the Minkowski space. We define operations for T, CP and CPT leading to both kinds of actions. These operations extend the action of SL(2,C), representing the action of the proper orthochronous Lorentz group SO^+(1,3) on the Weyl spinors, to an action of the full group O(1,3). But it is more instructive to reverse the arguments. The action of O(1,3) is the natural way how SL(2,C) together with its conjugation structure acts on Minkowski space. Focusing on the symmetries of these (anti-)linear operations we can for example distinguish between CP-invariant and CP-violating symmetries. This is important if gauge symmetries are included. It turns out that, contrary to the general belief, CP and T are not compatible with SU(n) for n > 2, especially with colour-SU(3) or with the U(3)-Cabibbo-Kobayashi-Maskawa matrix.
Haft Martin
Saller Heinrich
No associations
LandOfFree
Operational Discrete Symmetries and CP-Violation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Operational Discrete Symmetries and CP-Violation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Operational Discrete Symmetries and CP-Violation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-613201