Real-time dynamics of proton decay

TL;DR

This paper explores a real-time simulation approach to observe proton decay catalyzed by monopoles using Skyrmions, addressing key technical challenges for practical implementation.

Contribution

It introduces a novel method for simulating monopole-induced proton decay in real time, overcoming boundary reflection and Gauss constraint issues.

Findings

Demonstrates overcoming boundary reflection problems

Provides estimates for proton decay catalysis cross-section

Outlines practical steps for real-time simulation implementation

Abstract

Substituting Skyrmion for nucleon, one can potentially see -- in real time -- how the monopole is catalysing the proton (or neutron) decay, and even obtain a plausible estimate for catalysis cross-section. Here we discuss the key aspects of a practical implementation of such approach and demonstrate how one can overcome the main technical problems: Gauss constraint violation and reflections at the boundaries.