Matrix Models: Fermion Doubling vs. Anomaly

TL;DR

This paper discusses the phenomenon of spectrum doubling in matrix models at large N, relating it to fermionic determinants and lattice gauge theory issues, and explores potential physical interpretations and elimination methods.

Contribution

It provides an analysis of spectrum doubling in matrix models and connects it to fermionic determinant behavior, offering insights into its physical implications and possible solutions.

Findings

Spectrum doubling occurs in matrix models as N approaches infinity.

The doubling phenomenon is linked to fermionic determinant behavior.

Potential methods to interpret or eliminate doubling are briefly discussed.

Abstract

We present some arguments showing spectrum doubling of matrix models in the limit $N\to\infty$ which is connected with fermionic determinant behaviour. The problems are similar to ones encountered in the lattice gauge theories with chiral fermions. One may discuss the ``physical meaning'' of the doubling states or ways to eliminate them. We briefly consider both situations.