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The photon two-point function in unitary approximation

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Zeitschrift für Physik C Particles and Fields

Abstract

The photon two-point function is calculated using the exponential representation for the time-evolution operator taking into account terms up to second order ine in the exponent. The limiting case of vanishing electron mass is examined and it is shown that mass singularities cancel by means of unitarity. Near mass shell the causal Green function exhibits in the limit of vanishing electron mass the expected cut behaviour, off mass shell we recover the result of the usual perturbation theory.

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References

  1. T.D. Lee, M. Nauenberg: Phys. Rev. B133 (1964) 1549

    Google Scholar 

  2. T. Kinoshita: J. Math. Phys. 3 (1962) 650

    Google Scholar 

  3. W. Magnus: Comm. Pure Appl. Math. 7 (1954) 649

    Google Scholar 

  4. R.M. Wilcox: J. Math. Phys. 8 (1967) 962

    Google Scholar 

  5. I. Bialynicki-Birula, B. Mielnik, J. Plebanski: Ann. Phys. 51 (1969) 187

    Google Scholar 

  6. H.D. Dahmen, W. Krzyzanowski, M.L. Larsen: Phys. Rev. D33 (1986) 1726

    Google Scholar 

  7. P. Kulish, L. Faddeev: Theor. Math. Fiz. 4 (1970) 153

    Google Scholar 

  8. H.D. Dahmen, T. Mannel, P. Manakos: Z. Phys. C—Particles and Fields 40 (1988) 425

    Google Scholar 

  9. H.D. Dahmen, T. Mannel, P. Manakos: Z. Phys. C—Particles and Fields 40 (1988) 435

    Google Scholar 

  10. C. Itzykson, J.B. Zuber: Quantum field theory p. 318 ff. New York: Mcgraw-Hill 1980

    Google Scholar 

  11. H. Lehmann: Nouvo Cimento 11, (1954) 342

    Google Scholar 

  12. M. Gel'fand, G.E. Shilov: Generalized functions, Vol 1 New York: Academic Press 1964

    Google Scholar 

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Authors and Affiliations

  1. University of Siegen, D-5900, Siegen, Federal Republic of Germany

    H. D. Dahmen & T. Ohl

  2. Technische Hochschule Darmstadt, D-6100, Darmstadt, Federal Republic of Germany

    P. Manakos & T. Mannel

Authors
  1. H. D. Dahmen
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  2. P. Manakos
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  3. T. Mannel
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  4. T. Ohl
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Supported by Bundesminister für Forschung und Technologie, FRG

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Dahmen, H.D., Manakos, P., Mannel, T. et al. The photon two-point function in unitary approximation. Z. Phys. C - Particles and Fields 44, 139–147 (1989). https://doi.org/10.1007/BF01548592

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  • DOI: https://doi.org/10.1007/BF01548592

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