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O(2) symmetric connections in an SU(2) Yang-Mills theory

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Abstract

The general O(2) symmetric Yang-Mills equations are derived. An ansatz for O(2) symmetric merons is presented and it is shown that any connection in this ansatz will have SU(2) topological charge density which is a sum of delta functions at points in a plane with weights ± 1/2. It is shown that any connection in this ansatz will beC ∞ away from these points.

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Reference

  1. Witten, E.: Phys. Rev. Lett.38, 3 (1976)

    Google Scholar 

  2. DeAlfaro, V., Fubini, S., Furlan, A.: Phys. Lett.65, 163 (1976)

    Google Scholar 

  3. Glimm, J., Jaffe, A.: Phys. Lett.73B, 167–170 (1978)

    Google Scholar 

  4. Glimm, J., Jaffe, A.: Phys. Rev.D18, 463–467 (1978)

    Google Scholar 

  5. Jonsson, T., McBryan, O., Zirilli, F., Hubbard, J.: Commun. Math. Phys.68, 259–273 (1979)

    Google Scholar 

  6. Although the O(2) connection is completely general, a different choice of linear combinations of theAα will result in different equations. Similar O(2) symmetric equations were studied by Hung-Sheng Tsao (unpublished) and by Callan, Dashen, and Gross (unpublished). I am grateful to the authors for transmitting these results to me through A. Jaffe.

  7. Belavin, A., Polyakov, A., Schwartz, A., Tyupkin, Y.: Phys. Lett.59B, (1975), 85.

    Google Scholar 

  8. Steenrod: Topology of Fibre Bundles. Princeton, NJ: Princeton University Press, 1951

    Google Scholar 

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Authors and Affiliations

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

    Clifford Henry Taubes

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  1. Clifford Henry Taubes
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Additional information

Communicated by A. Jaffe

National Science Foundation Pre-doctoral Fellow

Supported in part by the National Science Foundation under Grant PHY 77-18762

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Taubes, C.H. O(2) symmetric connections in an SU(2) Yang-Mills theory. Commun.Math. Phys. 69, 179–193 (1979). https://doi.org/10.1007/BF01221447

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  • DOI: https://doi.org/10.1007/BF01221447

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