Matrix Models: Fermion Doubling vs. Anomaly

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.

11 pages, minor corrections, some Refs. added

References in corpus (2)

• Chiral Gauge Anomalies on Noncommutative R^4
• Spontaneous Breakdown of Lorentz Invariance in IIB Matrix Model

Cited by in corpus (6)

• Noncommutative Chiral Gauge Theories on the Lattice with Manifest Star-Gauge Invariance
• On matrix models for anomalous dimensions of super Yang-Mills theory
• Matrix Models
• Fermion Doubling and Berenstein--Maldacena--Nastase Correspondence
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• On the Equivalence of Noncommutative Models in Various Dimensions and Brane Condensation