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

2000/11/15 by X. J. Wang, X. -J. Wang, Wang, X. -J. +3
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0011129

revtex, 4 pages, 1 figure

openalex publication_date 2000/11/15 · arxiv created 2000/11/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 A₀^a, i.e., A₀^aA₀^a<0. It yields hermitian Hamilton, and finite, positive energy.

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