Evidence for a nonperturbative Higgs‑like process that gives gluons mass
Researchers present evidence that gluons—the carriers of the strong force—can acquire a mass through a fully nonperturbative, Higgs‑like mechanism in linear covariant gauges. Using results from large lattice simulations and continuum field‑theory analysis, they identify a broken charge, an associated unphysical Goldstone boson made of gluons and ghosts, and a concrete way the mass appears. The mass generation is described as a Schwinger mechanism, triggered by the formation of this composite Goldstone boson, and the construction preserves color confinement after a suitable correction to the charge operator.
What the authors examine is the gauge sector of Quantum Chromodynamics (QCD) in linear covariant gauges, including the commonly used Landau gauge. Lattice simulations show that the transverse part of the gluon propagator levels off to a finite, nonzero value at very low momentum instead of blowing up as it would for a massless particle. This infrared saturation is the empirical sign that gluons behave as if they have a dynamically generated mass in the long‑distance regime. The paper combines that numerical evidence with an analysis based on BRST (Becchi‑Rouet‑Stora‑Tyutin) quantization and the field equations of Yang–Mills theory.
They organize the argument in the familiar three steps of a Higgs mechanism: a broken charge, a corresponding Goldstone boson, and a mechanism that produces mass. The broken charge here is the Kugo‑Ojima charge, a BRST‑related color charge. The would‑be Goldstone boson is not an elementary particle but a massless, color‑carrying bound state that is a superposition of two‑gluon, three‑gluon and ghost–antighost components (and can include quark–antiquark pieces if quarks are present). A Bethe‑Salpeter type sum rule derived from the Yang–Mills equations shows that at least one of those composite amplitudes must be nonzero, which supports the interpretation of the bound state as the Goldstone mode. The Schwinger mechanism then uses massless poles in interaction vertices to evade identities that otherwise forbid gauge bosons from becoming massive.