Geometric Phases in Kaon Decays and Baryogenesis

TL;DR

This paper explores the use of geometric phases, via Bargmann invariants, to analyze CP violation in kaon decays, baryogenesis, and leptogenesis, offering a geometric perspective on fundamental symmetry violations.

Contribution

It introduces a formalism linking Bargmann invariants to CP violation, providing a geometric interpretation applicable across various particle physics phenomena.

Findings

Bargmann invariants are identified as geometric phases in quantum systems.

CP invariance corresponds to specific rephasing invariant phases.

The formalism offers a new geometric approach to understanding CP violation.

Abstract

We studied the formalism for construction of Bargmann invariants (BIs) as quantum mechanical geometric phases and identified the CP invarince with the rephasing invariant phases in neutral kaon system, kaon decays, baryogenesis and leptogenesis. We develop this formalism to express the CP violation in terms of the Bargmann invariants, which allow us to interpret them as geometric phases. We then comment on the application of such generalized treatment of CP phases.