Dynamical simulations of electroweak baryogenesis with fermions

TL;DR

This paper presents the first dynamical lattice simulations of electroweak baryon number violation including fermions, demonstrating the ensemble method's effectiveness in capturing quantum anomalies in a Standard Model setting.

Contribution

It introduces a novel real-time simulation approach for electroweak baryogenesis with fermions, accurately modeling quantum effects like the chiral anomaly.

Findings

Successfully reproduces the chiral anomaly in simulations

First to include fermions dynamically in electroweak baryogenesis simulations

Validates the ensemble method for quantum fermion modeling

Abstract

We perform real-time numerical lattice simulations of a one-family version of the Standard Model. We model the quantum fermions using the ensemble method and treat the bosonic scalar and non-abelian gauge fields classically. Our main interest is electroweak baryogenesis, and we test the approach by considering Standard Model baryon number violation through the chiral anomaly, a truly quantum phenomenon. We find that the method correctly reproduces the anomaly, and perform the first dynamical simulations of electroweak baryon number violation including fermions.