How Do Fermions Behave on a Random Lattice?

TL;DR

This paper investigates the behavior of fermions on random lattices, revealing that gauge interactions can revive fermion doublers unless non-invariant implementations are used, highlighting challenges in lattice gauge theory.

Contribution

It demonstrates how gauge interactions affect fermion doublers on random lattices, emphasizing the importance of gauge invariance in lattice formulations.

Findings

Doublers suppressed in free field case are revived on random lattices.

Gauge interactions can restore fermion doublers unless implemented non-invariantly.

Continuum limit behavior depends on gauge interaction implementation.

Abstract

Comparing random lattice, naive and Wilson fermions in two dimensional abelian background gauge field, we show that the doublers suppressed in the free field case are revived for random lattices in the continuum limit unless gauge interactions are implemented in a non--invariant way.