A CP-Violating Kinematic Structure

Details A CP-Violating Kinematic Structure A CP-Violating Kinematic Structure

2000-10-05

arxiv.org/abs/hep-ph/0010046v1

AIP Conf.Proc.566:317-325,2001

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited talk (International Workshop on Observing Ultra-High Energy Cosmic Rays, August 2000, Metepec, Mexico). Latex with aip

Scientific paper

10.1063/1.1378641

A CP violating kinematic structure is presented. The essential physical input is to question the textbook wisdom, ``Now when a particle is at rest, one cannot define its spin as either left- or right-handed, so phi_R(0) = phi_L(0),'' as found, e.g., in Lewis Ryder's Quantum Field Theory, and in many other books on the representations of the Lorentz group. It is suggested that this equality is true only up to a phase. The demand of C, P, and T covariances, separately, fixes this phase to be pm 1. If these conditions are relaxed, a natural CP-violating kinematic structure emerges. Having established a CP-violating kinematic structure, we then discuss how Planck scale physics necessarily invokes non-commutative space-time and that such changes in the structure of space-time will force upon us additional violations/deformations of the CPT structure of space-time, and a violation of the principle of equivalence via a violation of the Lorentz symmetries. The latter may carry significant consequences for understanding the data on ultra high energy cosmic rays.

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