Low lying eigenmodes and meson propagator symmetries

TL;DR

This paper investigates how the suppression of low-lying Dirac eigenmodes leads to observed degeneracies in meson masses, suggesting an emergent symmetry in the quantization process.

Contribution

It demonstrates how differences in meson propagators are controlled by low modes and diminish as these modes are suppressed, supporting the conjecture of an emergent symmetry.

Findings

Degeneracies in meson masses occur when low-lying eigenmodes are suppressed.

Differences between classes of meson propagators decrease with the suppression of low modes.

Supports the idea of a hidden symmetry emerging in the quantization process.

Abstract

In situations where the low lying eigenmodes of the Dirac operator are suppressed one observed degeneracies of some meson masses. Based on these results a hidden symmetry was conjectured, which is not a symmetry of the Lagrangian but emerges in the quantization process. We show here how the difference between classes of meson propagators is governed by the low modes and shrinks when they disappear.