High Energy Particle Physics

   

A First-Principles Derivation of the QCD Lagrangian and of Color Confinement from the Microscopic Model

Authors: Bodo Lampe

We present a derivation of Quantum Chromodynamics (QCD) and color confinement emerging from a 7+1-dimensional microscopic theory. In this theory quarks are excitations of fundamental 7+1D fermions (the Tetrons) which are condensed into a 3+1D monolayer vacuum structure, and gluons arise as collective topological link excitations. The $SU(3)_C$ gauge symmetry is not postulated ad hoc, but emerges dynamically as an effective macroscopic description of the topological transport on a discrete 3-dimensional `monolayer'(=the 3D physical universe). Furthermore, we show that color confinement arises naturally via a modified dual Meissner effect. Unlike standard phenomenological models that rely on the explicit condensation of magnetic monopoles, the confining medium in this framework is dynamically generated by the geometric frustration of the background Tetron lattice. The discrete isomagnetic nature of the vacuum forces emergent color-electric flux lines into one-dimensional tubes, yielding a rigorous microscopic origin for the linear confining potential. Also included: (i) the emergence of 3+1D Lorentz invariance from the discrete structures, (ii) a comparison between the geometric nature of gluons and of the electroweak gauge bosons and (iii) an analysis of the CP invariance of the vacuum.

Comments: 54 Pages.

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[v1] 2026-10-30 19:09:59

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