Extend the effective model with Gribov–Zwanziger-like composite quartets

Develop an extension of the BRST- and anti‑BRST‑invariant effective Lagrangian by introducing additional composite quartets that implement Gribov–Zwanziger fields, and analyze this extension to address the Gribov problem within the spontaneous BRST symmetry breaking framework.

Background

The proposed effective theory augments Yang–Mills fields with a Fujikawa BRST–anti‑BRST quartet to realize spontaneous BRST breaking and generate effective masses, drawing an analogy to chiral effective models.

The authors discuss the relation to the Gribov problem and suggest that dynamical mass generation may mitigate near-horizon configurations. They propose, as a future step, adding composite quartets analogous to Gribov–Zwanziger auxiliary fields to integrate Gribov-region effects within the same effective framework.

References

If needed, in principle, it is conceivable to further extend the present effective model by additional composite quartets serving as the Gribov--Zwanziger fields, in an analogous way to how vector hadron resonances are added to the Chiral Quark Model; we leave this to future work.

— Spontaneous BRST symmetry breaking in infrared QCD  (2603.29401 - Fazio et al., 31 Mar 2026) in Conclusions, paragraph 3