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On the classical lump of Yang-Mills fields

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Abstract

It is shown that for pure Yang-Mills fields there is no lump phenomena if the total energy is infinite and diverges mildly in a certain sense. This improves the well-known classical result on the absence of a lump for the finite total energy case. Some exact lump solutions are obtained showing that the energy condition cannot be removed. The results are valid for more general fields.

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Authors and Affiliations

  1. Institute of Mathematics, Fudan University, 200433, Shanghai, People's Republic of China

    Hu Hesheng

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  1. Hu Hesheng
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Additional information

This work was supported by the Chinese Natural Science Foundation, the Chinese Fund of Doctor Programs, and the University of Paris VI, and University of Bourgogne.

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Hesheng, H. On the classical lump of Yang-Mills fields. Lett Math Phys 22, 267–275 (1991). https://doi.org/10.1007/BF00405601

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  • DOI: https://doi.org/10.1007/BF00405601

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