Anomalous fermion number violation and numerical simulations
Istvan Montvay

TL;DR
This paper introduces a simple model for anomalous fermion number violation suitable for numerical simulation, and presents exploratory results from simulations of a 2D U(1) Higgs model, addressing lattice regularization issues.
Contribution
It formulates a new model for anomalous fermion number violation that can be studied numerically, advancing lattice regularization of chiral gauge theories.
Findings
Numerical simulations of the model are feasible with current techniques.
Preliminary results demonstrate the model's potential for studying fermion number violation.
The approach addresses challenges in lattice regularization of chiral gauge theories.
Abstract
After discussing the problem of lattice regularization of chiral gauge theories, a simple model for anomalous fermion number violation is formulated which can be numerically studied with present day technique. Exploratory results of numerical simulations of a two-dimensional U(1) Higgs model are presented.
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