Anomalous Fermion Number Non-Conservation on the Lattice

TL;DR

This paper investigates fermion number anomaly on the lattice using a simple model with multiple fermion doublets, providing insights into non-conservation phenomena in lattice gauge theories.

Contribution

It introduces a lattice calculation of fermion number anomaly in a straightforward model with multiple fermion doublets, highlighting non-conservation effects.

Findings

Demonstrates fermion number anomaly on the lattice

Shows non-conservation in a model with even fermion doublets

Provides a computational approach for lattice anomalies

Abstract

The anomaly for the fermion number current is calculated on the lattice in a simple prototype model with an even number of fermion doublets.