RIGOROUS CONSTRUCTION OF FOUR-DIMENSIONAL YANG–MILLS QUANTUM FIELD THEORY VIA GRIBOV–ZWANZIGER QUANTIZATION AND RENORMALIZATION GROUP ANALYSIS: MEASURE-THEORETIC FOUNDATIONS, SPECTRAL PROPERTIES, AND THE MASS GAP

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Abstract

One constructs a gauge-fixed lattice Yang–Mills measure satisfying the Osterwalder–Schrader axioms and establish the existence of a strictly positive mass gap in four dimensions for sufficiently small coupling.

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