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Functional determinants in euclidean Yang-Mills theory

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We study functional determinants entering the path integral for topologically non-trivial sectors of Euclidean SU(2) Yang-Mills theory and we derive some results in exact closed form.

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References

  1. 't Hooft, G.: Phys. Rev. D14, 3432 (1976)

    Google Scholar 

  2. Jackiw, R., Nohl, C., Rebbi, C.: Phys. Rev. D15, 1642 (1977)

    Google Scholar 

  3. Schwarz, A.S.: Lett. Math. Phys.2, 201–205 (1978); ibid. 247–252; Commun. Math. Phys.64, 233–268 (1979)

    Google Scholar 

  4. Brown, L.S., Creamer, D.: Phys. Rev. D18, 3695 (1978)

    Google Scholar 

  5. Jackiw, R., Rebbi, C.: Phys. Rev. D16, 1052 (1977)

    Google Scholar 

  6. Bjorken, J.D., Drell, S.D.: Relativistic quantum mechanics, p. 152. New York: McGraw Hill 1964

    Google Scholar 

  7. Brown, L.S., Carlitz, R.D., Creamer, D.B., Lee, C.: Phys. Rev. D17, 1583 (1978)

    Google Scholar 

  8. Goldberg, S.: Unbounded linear operators. New York: McGraw Hill 1966

    Google Scholar 

  9. Reed, M., Simon, B.: Fourier analysis and self-adjointness. New York: Academic Press 1975

    Google Scholar 

  10. Gilkey, P.: The index theorem and the heat equation. Boston: Publish or Perish 1974

    Google Scholar 

  11. Jackiw, R., Rebbi, C.: Phys. Rev. D14, 517 (1976)

    Google Scholar 

  12. Callias, C.: Commun. Math. Phys.62, 213–234 (1978)

    Google Scholar 

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Communicated by A. Jaffe

This work is supported through funds provided by the US Department of Energy (DOE) under Contract EY-76-C-02-3069 and by the National Science Foundation through funds provided under Contract PHY 79-16812

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Callias, C., Taubes, C.H. Functional determinants in euclidean Yang-Mills theory. Commun.Math. Phys. 77, 229–250 (1980). https://doi.org/10.1007/BF01269922

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  • DOI: https://doi.org/10.1007/BF01269922

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