Emmanouil Karolos Čižek

Research hub for my work on constructive 4D Yang–Mills theory (existence and mass gap), using OS reconstruction and quantitative mixing/clustering methods.

ORCID: https://orcid.org/0009-0009-9099-6086

Monograph

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

DOI: doi:10.5281/zenodo.17246443

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: Yang–Mills; mass gap; constructive QFT; Osterwalder–Schrader; reflection positivity; Harris mixing; BRST; Wilson loops; SU(N); torsion

How to cite

Čižek, E. K. (2025). A Constructive Einstein–Cartan–Yang–Mills Theory with Positive Mass Gap in Four Dimensions (v1.1.0). Zenodo. doi:10.5281/zenodo.17246443

Other papers

• Mixing of boundary Langevin dynamics for regulated four-dimensional Yang–Mills slabs
  DOI: doi:10.5281/zenodo.18280110
• Weak Harris Mixing and Exponential Clustering for Interacting Boundary Laws on Abstract Wiener Spaces
  DOI: doi:10.5281/zenodo.17829624
• A Structural and Conceptual Overview of A Constructive Einstein–Cartan–Yang–Mills Theory with Positive Mass Gap in Four Dimensions
  DOI: doi:10.5281/zenodo.17718647
• The Vacuum Has Steps
  DOI: doi:10.5281/zenodo.17929933

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Last updated: 2026-01-17 (v14)