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

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

2000-11-15

arxiv.org/abs/hep-th/0011129v2

Physics

High Energy Physics

High Energy Physics - Theory

revtex, 4 pages, 1 figure

Scientific paper

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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