Generalized Uncertainty Principle as a Mechanism for CP Violation

TL;DR

This paper demonstrates how the Generalized Uncertainty Principle introduces higher-derivative terms in quantum electrodynamics, leading to observable CP violation effects such as electric dipole moments, thus providing a new avenue for testing quantum gravity.

Contribution

It reveals a novel mechanism where the Generalized Uncertainty Principle induces dynamical operators from topological invariants, linking quantum gravity effects to measurable CP violation phenomena.

Findings

Higher-derivative corrections promote topological invariants to dynamical operators.

The mechanism generates electric dipole moments detectable via precision experiments.

Provides a new low-energy test for quantum-gravity theories.

Abstract

Within quantum electrodynamics we show that the Generalized Uncertainty Principle induces higher-derivative corrections that promote the topological invariant $F_{\mu\nu}\,\widetilde F^{\mu\nu}$ to the dynamical, non-topological operator $\partial^\lambda F_{\mu\nu}\,\partial_\lambda \widetilde F^{\mu\nu}$. We explore the resulting phenomenology, focusing on the generation of electric dipole moments. Our findings open a new low-energy window for testing quantum-gravity scenarios through precision measurements of charge-parity violation.