Screening masses in quenched (2+1)d Yang-Mills theory: universality from dynamics?

TL;DR

This study investigates the gluonic screening-masses in quenched 3D Yang-Mills theory near the phase transition, demonstrating universality through comparisons with Ising and scalar models, and confirming a gauge-to-scalar mapping.

Contribution

It provides the first detailed lattice computation of screening-masses in 3D Yang-Mills near criticality, validating universality and a gauge-to-scalar mapping for spectral patterns.

Findings

Mass ratios agree with universality predictions

Gauge-to-scalar mapping accurately describes spectral patterns

Results support universality across different models

Abstract

We compute the spectrum of gluonic screening-masses in the $0^{++}$ channel of quenched 3d Yang-Mills theory near the phase-transition. Our finite-temperature lattice simulations are performed at scaling region, using state-of-art techniques for thermalization and spectroscopy, which allows for thorough data extrapolations to thermodynamic limit. Ratios among mass-excitations with the same quantum numbers on the gauge theory, 2d Ising and $\lambda\phi^{4}$ models are compared, resulting in a nice agreement with predictions from universality. In addition, a gauge-to-scalar mapping, previously employed to fit QCD Green's functions at deep IR, is verified to dynamically describe these universal spectroscopic patterns