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Analytic renormalization of dual one-loop amplitudes

Аналитическая перенормировка дуальных амплитуд с одной петлей

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Il Nuovo Cimento A (1971-1996)

Summary

Off-mass-shell orientable nonplanar loops are used to suggest a specific way of regularizing one-loop amplitudes. The corresponding counterterms are complex because the pomeronlike singularity, present in orientable nonplanar loops, is a cut rather than a pole.

Riassunto

Si usano le anse non piane orientabili fuori dello strato delle masse per suggerire un modo specifico per regolarizzare le ampiezze di un’ansa. I controtermini corrispondenti sono complessi perché la singolarità simile al pomerone, presenta nelle anse non piane orientabili, è un taglio invece di un polo.

Реэюме

Испольэуются ориентируемые неплоские петли вне массовой поверхности, чтобы предположить специфический способ регуляриэации амплитуд с одной петлей. Соответствуюшие противочлены являются комплексными, так как сингулярность, подобная Померанчукону, которая присутствует в ориентируемых неплоских петлях, является реэреэом, а не полюсом.

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References

  1. A. Neveu andJ. Scherk:Phys. Rev. D,1, 2355 (1970).

    Article  ADS  Google Scholar 

  2. G. Frye andL. Susskind:Phys. Lett.,31 B, 537 (1970).

    Article  ADS  Google Scholar 

  3. D. J. Gross, A. Neveu, J. Scherk andJ. H. Schwarz:Phys. Rev. D,2, 697 (1970).

    Article  ADS  Google Scholar 

  4. J. Scherk: Orsay preprint LPTHE 70/45 (1970).

  5. G. Frye andL. Susskind:Phys. Lett.,31 B, 589 (1970).

    Article  ADS  Google Scholar 

  6. H. B. Nielsen: NORDITA preprint (1969);D. B. Fairlie andH. B. Nielsen:Nucl. Phys.,20 B, 637 (1970).

  7. C. Lovelace:Phys. Lett.,32 B, 490 (1970).

    Article  ADS  Google Scholar 

  8. S. Fubini, D. Gordon andG. Veneziano:Phys. Lett.,29 B, 679 (1969);Y. Nambu: Chicago University preprint (1969) (unpublished);L. Susskind:Phys. Rev. D,1, 1182 (1970).

    Article  ADS  Google Scholar 

  9. V. Alessandrini, D. Amati, M. Le Bellac andD. Olive: CERN preprint TH. 1160 (1970), to be published inPhys. Rep.

  10. F. Gliozzi:Lett. Nuovo Cimento,2, 846 (1969).

    Article  Google Scholar 

  11. D. Amati, M. Le Bellac andD. Olive:Nuovo Cimento,66 A, 831 (1970).

    Article  ADS  Google Scholar 

  12. V. Alessandrini, D. Amati, M. Le Bellac andD. Olive:Phys. Lett.,32 B, 285 (1970).

    Article  ADS  Google Scholar 

  13. The Bateman Manuscript Project, Vol.1 (New York, 1953).

  14. D. Amati: private communication.

  15. E. Cremmer andA. Neveu:Phys. Lett.,33 B, 356 (1970).

    Article  ADS  Google Scholar 

  16. V. Alessandrini andD. Amati: CERN preprint TH. 1278 (1971).

Download references

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Goddard, P. Analytic renormalization of dual one-loop amplitudes. Nuov Cim A 4, 349–362 (1971). https://doi.org/10.1007/BF02728469

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  • DOI: https://doi.org/10.1007/BF02728469

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