Abstract
Solutions of the equations of classical Yang-Mills theory in four dimensional Minkowski space are studied. It is proved (Theorem 1) that there is no finite energy (nonsingular) solution of the Yang-Mills equations having the property that there exists ɛ,R,t 0>0 such that
\(\theta _{00} (\bar x,t)\) being the energy density. Previously known theorems on the absence of finite energy nonsingular solutions that radiate no energy out to spatial infinity are particular cases of Theorem 1. The result stated in Theorem 1 is not restricted to the Yang-Mills equations. In fact, it extends to a large class of relativistic equations (Theorem 2).
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References
Coleman, S.: There are no classical glueballs. Commun. math. Phys.55, 113–116 (1977).
Coleman, S.: Proceedings of the 1975 International School of Subnuclear Physics “Ettore Majorana”, S. Deser. Phys. Lett.64B, 463 (1976)
Pagels, H.: Absence of periodic solutions to scale invariant classical field theories. Phys. Lett. B (to appear)
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Communicated by A. Jaffe
Supported in part by the National Science Foundation under Grant PHY 75-21212
On leave from the Universiteit Leuven, Belgium
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Weder, R. Absence of classical lumps. Commun.Math. Phys. 57, 161–164 (1977). https://doi.org/10.1007/BF01625774
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DOI: https://doi.org/10.1007/BF01625774