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A finite-diagram theory for yang-mills fields

II: High-energy amplitudes in the sixth order

  • Published:
Il Nuovo Cimento A (1971-1996)

Summary

The high-energy sixth-order amplitudes for elastic scatterings are calculated in the limits → ∞ witht fixed. The amplitude ℳ behaves ass lns, multiplied by a function oft, in the finite-diagram theory. In particular, the ratio Re ℳ/Im ℳ remains finite ass → ∞, in each perturbation order for fermion-fermion, fermion-boson and boson-boson scatterings. These results are basically different from those in the corresponding divergent field theory and are in harmony with experiments of hadron collision at high energies.

Riassunto

Si calcolano le ampiezze ad alta energia del sesto ordine per gli scattering elastici nel limites → ∞ cont fissato. L’ampiezza ℳ segue l’andamento dis lns, moltiplicato per una funzione dit, nella teoria dei diagrammi finiti. In particolare, il rapporto Re ℳ/Im ℳ rimane finito al tendere dis all’infinito in qualsiasi ordine della perturbazione per gli scattering fermione-fermione, fermione-bosone e bosone-bosone. Questi risultati sono fondamentalmente differenti da quelli ottenuti nella corrispondente teoria di campo divergente e sono in armonia con esperimenti di collisione tra adroni ad energie alte.

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Author notes

  1. J. P. Hsu

    Present address: Physics Department, Southeastern Massachusetts University, 02747, North Dartmouth, Mass.

Authors and Affiliations

  1. Space Sciences Laboratory, NASA/Marshall Space Flight Center, 35812, Huntsville, Ala.

    J. P. Hsu

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  1. J. P. Hsu
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To speed up publication, the author of this paper has agreed to not receive the proofs for correction.

The research was accomplished while the author held an NRC Senior Resident Research Associateship.

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Hsu, J.P. A finite-diagram theory for yang-mills fields. Nuov Cim A 56, 1–15 (1980). https://doi.org/10.1007/BF02729974

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  • DOI: https://doi.org/10.1007/BF02729974

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