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Static, Spherically Symmetric Solutions of Yang-Mills-Dilaton Theory

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Abstract

Static, spherically symmetric solutions of the Yang-Mills-Dilaton theory are studied. It is shown that these solutions fall into three different classes. The generic solutions are singular. Besides there is a discrete set of globally regular solutions further distinguished by the number of nodes of their Yang-Mills potential. The third class consists of oscillating solutions playing the role of limits of regular solutions, when the number of nodes tends to infinity. We show that all three sets of solutions are non-empty. Furthermore we give asymptotic formulae for the parameters of regular solutions and confront them with numerical results.

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References

  1. Lavrelashvili, G., Maison, D.: Phys. Lett. B295, 67 (1992)

    Google Scholar 

  2. Bizon, P.: Phys. Rev. D47, 1656 (1993)

  3. Bartnik, R., McKinnon, J.: Phys. Rev. Lett. 61, 141 (1988)

    Article  Google Scholar 

  4. Smoller, J.A., Wasserman, G.A., Yau, S.T., McLeod, J.B.: Commun. Math. Phys. 154, 377 (1993)

    Google Scholar 

  5. Hastings, S.P., McLeod, J.B., Troy, W.C.: Proc. R. Soc. Lond. A 449, 479 (1995)

    Google Scholar 

  6. Breitenlohner, P., Forgács, P., Maison, D.: Commun. Math. Phys. 163, 141 (1994)

    Google Scholar 

  7. Coddington, E.A., Levinson, N.: Theory of Ordinary Differential Equations. New York: McGraw-Hill, 1955

  8. Hartman, P.: Ordinary Differential Equations. Boston: Birkhäuser, 1982

  9. Arnold, V.I.: Geometrical Methods in the Theory of Ordinary Differential Equations. New York: Springer, 1983

  10. Breitenlohner, P., Maison, D.: Commun. Math. Phys. 171, 685 (1995)

    Google Scholar 

  11. Breitenlohner, P., Lavrelashvili, G., Maison, D.: Class. Quant. Grav. 21, 1667 (2004)

    Article  Google Scholar 

  12. Dumortier, F.: Lecture Notes: Singularities of vector fields, IMPA Monograph No. 32, Rio de Janeiro: 1978

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Authors and Affiliations

  1. Max-Planck-Institut für Physik, Werner Heisenberg Institut, Föhringer Ring 6, 80805, Munich, Germany

    Dieter Maison

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  1. Dieter Maison
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Communicated by G.W. Gibbons

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Maison, D. Static, Spherically Symmetric Solutions of Yang-Mills-Dilaton Theory. Commun. Math. Phys. 258, 657–673 (2005). https://doi.org/10.1007/s00220-005-1337-2

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  • DOI: https://doi.org/10.1007/s00220-005-1337-2

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