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Analytical calculation of a fourth-order vacuum polarization coefficient

Аналитическое вычисление коэффициента ноляризации вакуума четвертого порядка

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Il Nuovo Cimento A (1965-1970)

Summary

Using the result of Gorishny, Kataev and Larin for the fourth-order Gell-Mann-Low function, we have analytically extracted the coefficient of the single power of logarithm occurring in the fourth-order vacuum polarization in the asymptotic expansion of the renormalized photon propagator.

Riassunto

Usando il risultato di Gorishny, Kataev e Larin per la funzione di Gell-Mann-Low di quart'ordine, si è ricavato analiticamente il coefficiente della potenza singola del logaritmo presente nella polarizzazione del vuoto di quart'ordine nello sviluppo asintotico del propagatore di fotoni rinormalizzato.

Резюме

Используя результат Горичного, Катаева и Ларина для функции Гелл-Манна-Лоу четвертого порядка, мы аналитически извлекаем коэффициент первой степени логарифма, который появляется в поляризации вакуума четвертого порядка в асимптотическом разложении перенормированного фотонного пропагатора.

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References

  1. K. Wilson:Phys. Rev. D,3, 1818 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  2. S. L. Adler:Phys. Rev. D,5, 3021 (1972).

    Article  ADS  Google Scholar 

  3. See,e.g., Gauge Theory of Elementary Particle Physics, edited byT. P. Cheng andL. F. Li (Clarendon Press, Oxford, 1984), Chapt. 11.

    Google Scholar 

  4. C. Callan:Phys. Rev. D,2, 1541 (1970);K. Symanzik:Commun. Math. Phys.,18, 227 (1970).

    Article  ADS  MATH  Google Scholar 

  5. R. Acharya andB. P. Nigam:Nucl. Phys. B,141, 178 (1978); Erratum,Nucl. Phys. B,150, 442 (1979).

    Article  ADS  Google Scholar 

  6. R. Acharya andB. P. Nigam:Nuovo Cimento A,56, 253 (1980).

    Article  ADS  Google Scholar 

  7. R. Acharya andB. P. Nigam:Nuovo Cimento A,88, 293 (1985).

    Google Scholar 

  8. S. G. Gorishny, A. L. Kataev andS. A. Larin:Phys. Lett. B,194, 429 (1987).

    Article  ADS  Google Scholar 

  9. M. Gell-Mann andF. Low:Phys. Rev.,95, 1300 (1954).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. M. Baker andK. Johnson:Phys. Rev.,183, 1292 (1969).

    Article  ADS  Google Scholar 

  11. J. Rosner:Ann. Phys. (N. Y.),44, 11 (1967).

    Article  ADS  Google Scholar 

  12. E. De Rafael andJ. Rosner:Ann. Phys. (N. Y.),82, 369 (1974).

    Article  ADS  Google Scholar 

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Acharya, R., Nigam, B.P. Analytical calculation of a fourth-order vacuum polarization coefficient. Nuov Cim A 100, 373–379 (1988). https://doi.org/10.1007/BF02812965

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  • DOI: https://doi.org/10.1007/BF02812965

PACS 12.20.Ds

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