A Constructive Einstein–Cartan–Yang–Mills Theory with Positive Mass Gap in Four Dimensions

Emmanouil Karolos Čižek (2025). Monograph / preprint.

Abstract

We construct Euclidean Yang–Mills on ℝ⁴ for compact simple gauge groups (e.g., SU(N)) and prove OS0–OS4 at any fixed slab thickness t>0 via a regulator- and coupling-uniform Harris mixing of the slab boundary dynamics. Reflection positivity holds on the gauge-invariant subalgebra; transfer contraction implies a strictly positive Hamiltonian mass gap after OS reconstruction. Nonperturbative Slavnov–Taylor/BRST identities are established, with torsion in a BRST doublet and decoupled from gauge-invariant correlators. A lattice anchor corroborates slab-wise mixing and the gap. The framework is regulator-uniform, corridor-free, and independent of compactness assumptions.

Keywords

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