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New results for classical gauge theories: Qualitative and exact

  • Gauge Theories
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Mathematical Problems in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 153))

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References

  1. R. Arnowitt, S. Deser and C. Misner, Phys. Rev. 118, 1100 (1960), 122, 997 (1961).

    Google Scholar 

  2. A. Ashtekar and A. Magnon-Ashtekar, Phys. Rev. Lett. 43, 181 (1979).

    Google Scholar 

  3. M. F. Atiyah, N. Hitchin, V. Drinfeld and Yu. Manin, Phys. Lett. 65A, 185 (1978).

    Google Scholar 

  4. M. F. Atiyah, N. Hitchin and I. Singer, Proc. Roy. Soc. A362, 425 (1978).

    Google Scholar 

  5. M. F. Atiyah and R. Ward, Commun. Math. Phys. 55, 117 (1977).

    Google Scholar 

  6. H. Bondi, M. G. J. van der Burg and A. W. K. Metzner, Proc. Roy. Soc. A269, 21 (1962).

    Google Scholar 

  7. Y. Choquet-Bruhat and D. Christodoulou, Acta Math. 146, 124 (1981).

    Google Scholar 

  8. E. Corrigan and P. Goddard, Commun. Math. Phys. 80, 575 (1981).

    Google Scholar 

  9. S. Deser and C. Teitelboim, Phys. Rev. Lett. 39, 249 (1977).

    Google Scholar 

  10. L. Faddeev, Problem of energy in general relativity, preprint.

    Google Scholar 

  11. P. Forgács, Z. Horváth and L. Palla, Phys. Lett. 102B, 131 (1981).

    Google Scholar 

  12. P. Goddard, J. Nuyts and D. Olive, Nucl. Phys. B125, 1 (1977).

    Google Scholar 

  13. N Hitchin, Monopoles and geodesics, Commun. Math. Phys., to be published.

    Google Scholar 

  14. G. T. Horowitz and M. J. Perry, Gravitational energy cannot become negative, preprint.

    Google Scholar 

  15. G. T. Horowitz and P. Tod, A relation between local and total energy in general relativity, preprint.

    Google Scholar 

  16. W. Isreal and J. M. Nestor, Positivity of the Bondi gravitational mass, Phys. Lett. 85A, 259 (1981).

    Google Scholar 

  17. A. Jaffe and C. Taubes, Vortices and Monopoles, Birkhäuser-Boston, 1980.

    Google Scholar 

  18. J. M. Nestor, Phys. Lett. 83A, 241 (1981).

    Google Scholar 

  19. L. Nirenberg and H. Walker, J. Math. Anal. Appl. 42, 271 (1973).

    Google Scholar 

  20. T. Parker and C. Taubes, On Witten's proof of the positive energy theorem, Commun. Math. Phys. to be published.

    Google Scholar 

  21. M. Prasad, Commun. Math. Phys. 80, 137 (1981).

    Google Scholar 

  22. M. Prasad and Rossi, Construction of exact multimonopole solutions, preprint.

    Google Scholar 

  23. M. Prasad and C. Sommerfield, Phys. Rev. Lett. 35, 760 (1975).

    Google Scholar 

  24. -. Commun. Math. Phys. 65, 45 (1979).

    Google Scholar 

  25. -Commun. Math. Phys. 79, 47 (1981).

    Google Scholar 

  26. -Commun. Math. Phys. 79, 231 (1981).

    Google Scholar 

  27. The proof of the positivity of the Bondi mass, preprint.

    Google Scholar 

  28. A. S. Schwartz, Nuclear Physics, B112, 358 (1976).

    Google Scholar 

  29. -Commun. Math. Phys. 80, 343 (1981).

    Google Scholar 

  30. -Commun. Math. Phys. 81, 299 (1981).

    Google Scholar 

  31. Self-dual Yang-Mills connections on non-self dual four-manifolds, J. Diff. Geom., to be published.

    Google Scholar 

  32. K. Uhlenbeck (i) Removable singularities in Yang-Mills fields, Commun. Math. Phys., to be published. (ii) Connections with LP bounds on curvature, Commun. Math. Phys., to be published.

    Google Scholar 

  33. -Commun. Math. Phys. 79, 317 (1981).

    Google Scholar 

  34. -Phys. Lett. 102B, 136 (1981).

    Google Scholar 

  35. -Commun. Math. Phys. 80, 563 (1981).

    Google Scholar 

  36. E. Witten, A new proof of the positive energy theorem, Commun. Math. Phys. 80, 381 (1981).

    Google Scholar 

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Authors and Affiliations

  1. Harvard University, 02138, Cambridge, Mass., USA

    Arthur Jaffe

Authors
  1. Arthur Jaffe
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Editor information

R. Schrader R. Seiler D. A. Uhlenbrock

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© 1982 Springer-Verlag

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Jaffe, A. (1982). New results for classical gauge theories: Qualitative and exact. In: Schrader, R., Seiler, R., Uhlenbrock, D.A. (eds) Mathematical Problems in Theoretical Physics. Lecture Notes in Physics, vol 153. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11192-1_43

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  • DOI: https://doi.org/10.1007/3-540-11192-1_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11192-4

  • Online ISBN: 978-3-540-38982-8

  • eBook Packages: Springer Book Archive

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