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Dimensional renormalization and the action principle

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Abstract

Dimensional renormalization is defined in such a way that the renormalized action principle holds. It is shown that this leads to a minimal, additive renormalization. The derivation of Ward-Takahashi indentities and Callan-Symanzik equations from the action principle is exemplified.

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References

  1. t'Hooft, G., Veltman, M.: Nucl. Phys. B44, 189 (1972)

    Google Scholar 

  2. Bollini, C. G., Giambiagi, J. J.: Phys. Letters40 B, 566 (1972)

    Google Scholar 

  3. Cicuta, G. M., Montaldi, E.: Nuovo Cimento Letters4, 329 (1972)

    Google Scholar 

  4. Becchi, C., Rouet, A., Stora, R.: Broken Symmetries: Perturbation theory of renomalizable models. Lectures given at the International School of Elementary Particle Physics, Basco Polje, 1974

  5. t'Hooft, G., Veltman, M.: Diagrammar, CERN Report 73/9

  6. Hepp, K.: Renormalization theory in statistical mechanics and quantum field theory (Les Houches 1970), (C. de Witt, R. Stora eds.). New York: Gordon and Breach 1971

    Google Scholar 

  7. Speer, E. R.: J. Math. Phys.15, 1 (1974)

    Google Scholar 

  8. Collins, J. C.: Nucl. Phys. B92, 477 (1975)

    Google Scholar 

  9. Lam, Y. M. P.: Phys. Rev. D6, 2145 (1972)

    Google Scholar 

  10. Speer, E. R.: Generalized Feynman amplitudes. Princeton: Princeton University Press 1969

    Google Scholar 

  11. Speer, E. R., Westwater, M. J.: Ann. Inst. H. Poincaré14 A, 1 (1971)

    Google Scholar 

  12. Lowenstein, J. H.: Commun. math. Phys.24, 1 (1971)

    Google Scholar 

  13. Gelfand, I. M., Shilov, G. E.: Generalized functions, Vol. I. New York: Academic Press 1964

    Google Scholar 

  14. Bollini, C. G., Giambiagi, J. J.: Acta Phys. Acustriaca38, 211 (1973)

    Google Scholar 

  15. Zimmermann, W.: Commun. math. Phys.15, 208 (1969)

    Google Scholar 

  16. Lowenstein, J. H.: Seminars on Renormalization Theory, Vol. I., Maryland Technical Report 73–068 (1972)

  17. Gomez, M., Lowenstein, J. H.: Phys. Rev. D7, 550 (1973)

    Google Scholar 

  18. Nakanishi, N.: Graph theory and Feynman integrals. New York: Gordon and Breach 1971

    Google Scholar 

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Author notes

  1. D. Maison

    Present address: II. Institut für Theoretische Physik der Universität Hamburg, Luruper Chaussee 149, D-2000, Hamburg 50, Federal Republic of Germany

Authors and Affiliations

  1. Max-Planck-Institut für Physik und Astrophysik, D-8000, München 40, Federal Republic of Germany

    P. Breitenlohner & D. Maison

Authors
  1. P. Breitenlohner
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  2. D. Maison
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Communicated by K. Symanzik

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Breitenlohner, P., Maison, D. Dimensional renormalization and the action principle. Commun.Math. Phys. 52, 11–38 (1977). https://doi.org/10.1007/BF01609069

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  • DOI: https://doi.org/10.1007/BF01609069

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