Yang-Mills Existence and Mass Gap Problem Contemplation PART J A complete argument for the positive definiteness of the spectrum of a fractal Laplacian operator
zhou, changzheng;
Yang-Mills Existence and Mass Gap Problem Contemplation PART J A complete argument for the positive definiteness of the spectrum of a fractal Laplacian operator
本文为在分形集(例如 Sierpi' nski 地毯和 Koch 曲线)上定义的分形拉普拉斯算子的光谱正性提出了全面的论点。我们建立了算子的数学结构,证明了它的自伴随性,并探讨了光谱间隙与物理现象的关系,特别是在量子场论和 YangMills 理论中。
Fractal Laplacian, Spectral Positivity, Sobolev Inequality, Quantum Field Theory, Yang-Mills Theory, Self-Adjoint Operator, Fractal Geometry, Fractal Laplacian, Spectral Positivity, Sobolev Inequality, Quantum Field Theory, Yang-Mills Theory, Self-Adjoint Operator, Fractal Geometry
Fractal Laplacian, Spectral Positivity, Sobolev Inequality, Quantum Field Theory, Yang-Mills Theory, Self-Adjoint Operator, Fractal Geometry, Fractal Laplacian, Spectral Positivity, Sobolev Inequality, Quantum Field Theory, Yang-Mills Theory, Self-Adjoint Operator, Fractal Geometry
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