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On the unicity of the 't Hooft's magnetic monopole

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Abstract

We consider the most general rotationally invariant and stationary Yang-Mills potential generated by the SU(2)-gauge group. It is shown that the 't Hooft's substitution is unique up to a gauge if we impose the finite energy condition.

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References

  1. 't HooftG., Nucl. Phys. B79, 276 (1974).

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  2. WuT.T. and YangC.N., in Properties of Matter under Unusual Conditions (ed. by H.Mark and S.Fernbach), Interscience, New York, 1969.

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  3. Kerner, R., Comp. Rend. Acad. Sci. Paris, t. 270 (1970).

  4. Kerner, R., Int. J. Theoret. Phys. 12, No. 3 (1975).

  5. Prasad, M.K. and Sommerfield, C.M., Phys. Rev. Letters 35, No. 12 (1975).

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  1. Dépt. de Mécanique, Université Pierre et Marie Curie, 4, Place Jussieu, Paris, France

    Richard Kerner

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  1. Richard Kerner
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Kerner, R. On the unicity of the 't Hooft's magnetic monopole. Lett Math Phys 2, 49–53 (1977). https://doi.org/10.1007/BF00420671

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  • DOI: https://doi.org/10.1007/BF00420671

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