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There are no classical glueballs

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Abstract

I show that there are no finite-energy non-singular solutions of classical Yang-Mills theory in four-dimensional Minkowski space that do not radiate energy out to spatial infinity. Finite-energy non-singular solutions that are either static or periodic in time, are a fortiori non-radiant; thus this generalizes earlier theorems that state that there are no such solutions.

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References

  1. For a review, see Coleman, S.: Classical lumps and their quantum descendants. In: New phenomena in subnuclear physics. New York and London: Plenum Publishing Co. (to be published)

  2. Deser, S.: Phys. Letters64B, 463 (1976)

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  3. Pagels, H.: Rockefeller University Report C00-2232B-1236 (1977)

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Authors and Affiliations

  1. Lyman Laboratory of Physics, Harvard University, 02138, Cambridge, Massachusetts, USA

    Sidney Coleman

Authors
  1. Sidney Coleman
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Communicated by A. Jaffe

Research supported in part by the National Science Foundation under Grant No. PHY75-20427

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Coleman, S. There are no classical glueballs. Commun.Math. Phys. 55, 113–116 (1977). https://doi.org/10.1007/BF01626513

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  • DOI: https://doi.org/10.1007/BF01626513

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