Full quark-gluon vertex dynamics in the gap equation yields real poles with opposite-sign residues and a 350 MeV constituent mass, unlike prior approximations that produce complex poles.
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An algebraic tensor ring decomposition converts Yang-Mills nonlinearities into tractable differential-algebraic ideals whose bifurcation analysis produces exact solutions including mass-gapped color waves, screened dyonic tubes, and chaotic SU(3) phases.
Renormalization defines a gauge-invariant mass function at every virtuality in gauge theories.
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Real poles with opposite-sign residues in the non-perturbative quark propagator
Full quark-gluon vertex dynamics in the gap equation yields real poles with opposite-sign residues and a 350 MeV constituent mass, unlike prior approximations that produce complex poles.
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Systematic Extraction of Exact Yang-Mills Solutions via Algebraic Tensor Ring Decomposition
An algebraic tensor ring decomposition converts Yang-Mills nonlinearities into tractable differential-algebraic ideals whose bifurcation analysis produces exact solutions including mass-gapped color waves, screened dyonic tubes, and chaotic SU(3) phases.
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The Gauge-Invariant Mass Function
Renormalization defines a gauge-invariant mass function at every virtuality in gauge theories.