QCD, Symmetry Breaking and the Random Lattice

TL;DR

This paper investigates how random lattices in four-dimensional quenched QCD can spontaneously break chiral symmetry, providing insights into fermion doubling suppression without explicit symmetry breaking.

Contribution

It demonstrates that random lattices can suppress fermion doubling through spontaneous chiral symmetry breaking, contrasting with traditional Wilson and staggered fermions.

Findings

Meson masses computed on random lattices.

Chiral condensate measurements indicate spontaneous symmetry breaking.

Fermionic eigenvalues support chiral symmetry breaking evidence.

Abstract

According to the Nielsen-Ninomiya No-Go theorem, the doubling of fermions on the lattice cannot be suppressed in a chiral theory. Whereas Wilson and staggered fermions suppress doublers with explicit breaking of chiral symmetry, the random lattice does so by spontaneous chiral symmetry breaking even in the free theory. I present results for meson masses, the chiral condensate and fermionic eigenvalues from simulations of quenched QCD on random lattices in four dimensions, focusing on chiral symmetry breaking.