Towards a unified viewpoint of Gribov–Zwanziger and Serreau–Tissier gauge fixing
Rodrigo Carmo Terin (organization=King Juan Carlos University, Faculty of Experimental Sciences and Technology, Department of Applied Physics, addressline=Av. del Alcalde de Móstoles, city=Madrid, postcode=28933, country=Spain)
We investigate a unified Landau–gauge fixing that continuously interpolates between the viewpoints of the Serreau–Tissier (ST) copy-averaged formulation and the (Refined) Gribov–Zwanziger (RGZ) restriction to the first Gribov region. By coupling a copy-averaged ST sector and a BRST-invariant RGZ sector within a single local action; the horizon term acts uniformly on copies, and the ST weight controls their relative contributions, we obtain a single, local, BRST-invariant, power-counting renormalizable action. Algebraic renormalization shows that all counterterms are reabsorbed by a common set of field and parameter renormalizations, therefore the unification is algebraic rather than merely additive. The replica sector yields a radiatively generated gluon screening mass, while the RGZ parameters are fixed by the horizon and condensate gap equations; we also give infrared matching conditions that link both descriptions at small momentum. We present a compact BRST-superspace rewriting of the RGZ block and a simple hybrid superspace that hosts the ST replicas and RGZ side by side; these add no dynamics and organize the Ward-identity analysis. The resulting gluon propagator interpolates among the massive Faddeev–Popov–ST and the RGZ decoupling forms. This framework offers a controlled way to study how infrared Yang–Mills correlators depend on the balance between copy averaging and horizon suppression, and it suggests practical lattice tests through tunable copy weighting.