# Four Dimensional Quantum Yang-Mills Theory and Mass Gap

@article{Farinelli2014FourDQ, title={Four Dimensional Quantum Yang-Mills Theory and Mass Gap}, author={Simone Farinelli}, journal={arXiv: General Mathematics}, year={2014} }

A quantization procedure for the Yang-Mills equations for the Minkowski space $\mathbf{R}^{1,3}$ is carried out in such a way that field maps satisfying Wightman's axioms of Constructive Quantum Field Theory can be obtained. Moreover, the spectrum of the corresponding QCD Hamilton operator is proven to be positive and bounded away from zero except for the case of the vacuum state which has vanishing energy level. The particles corresponding to all solution fields are bosons. As expected from… Expand

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Abstract Wiener measure using abelian Yang-Mills action on $\mathbb{R}^4$.

- Mathematics
- 2017

Let $\mathfrak{g}$ be the Lie algebra of a compact Lie group. For a $\mathfrak{g}$-valued 1-form $A$, consider the Yang-Mills action \begin{equation} S_{\rm YM}(A) = \int_{\mathbb{R}^4} \left|dA + A… Expand

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