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Static Solution in Source-Free SU(2) Yang-Mills Theory

X. -J. Wang·M. -L. Yan
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Abstract

We show that a non-trivial topological effect breaks the conformal invariance of pure Yang-Mills theory. Thus it is possible that classic particle-like solutions exists in pure non-Abelian Yang-Mills theory. We find a static, non-singular solution in source-free SU(2) Yang-Mills theory in four-dimensional Minkowski space. This solution is a stable soliton characterized by non-trivial topology and imaginary $A_0^a$, i.e., $A_0^aA_0^a<0$. It yields hermitian Hamilton, and finite, positive energy.

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X. -J. Wang, M. -L. Yan. 2000-11-17. Static Solution in Source-Free SU(2) Yang-Mills Theory. https://arxiv.org/abs/hep-th/0011129

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