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Invariant regularization of the one-meson loop in curved space-time

Инвариантная регуляриэация одно-меэонной петли в искривленном пространстве-времени

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Il Nuovo Cimento A (1965-1970)

Summary

The regularization of the one-meson loop in the presence of an external gravitational field by the ’t Hooft-Veltman method is shown to be possible in an Einstein-invariant manner.

Riassunto

Si dimostra che la regolarizzazione dell’ansa di un mesone in presenza di campi gravitazionali esterni col metodo di ’t Hooft-Veltman è possibile in modo einsteiniano invariante.

Реэюме

Покаэывается, что, испольэуя метод Хуфта-Вельтмана, можно зйнщтейновским инвариантным обраэом проиэвести регуляриэацию одно-меэонной петли в присутствии внещнего гравитационного поля.

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References

  1. B. de Witt:Dynamical Theory of Groups and Fields (New York, 1965).

  2. C. G. Callan, S. Coleman andR. Jackiw:Ann. of Phys.,59, 42 (1970).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. G. ’t Hooft andM. Veltman:Nucl. Phys.,44 B, 189 (1972).

    Article  ADS  Google Scholar 

  4. D. G. Boulware andL. S. Brown:Phys. Rev.,172, 1628 (1968).

    Article  ADS  Google Scholar 

  5. J. Honerkamp:Nucl. Phys.,36 B, 130 (1972).

    Article  ADS  Google Scholar 

  6. B. Zumino:Brandeis Lectures 1970, Vol.2 (Cambridge, Mass., 1970).

  7. One can avoid the invariant quantity\(\sqrt { - g} R_{\mu \nu } R^{\mu \nu } \) (See (1)).

  8. J. Wess:Springer Tracts in Mod. Phys.,60, 1 (1971).

    Article  ADS  Google Scholar 

  9. M. Abramowitz andI. A. Stegun, Editors:Handbook of Mathematical Functions (New York), p. 823.

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Address after July 1, 1972.

Supported by Deutsche Forschungsgemeinschaft.

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Geist, G., Kühnelt, H. & Lang, W. Invariant regularization of the one-meson loop in curved space-time. Nuov Cim A 14, 103–116 (1973). https://doi.org/10.1007/BF02734606

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  • DOI: https://doi.org/10.1007/BF02734606

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