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Phys. Rev. D 23, 534–552 (1981)

Diagrammatic derivation of the eikonal formula for high-energy scattering in Yang-Mills theory

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Hung Cheng* and John A. Dickinson*
Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, New York 11794

Kaare Olaussen
Institute for Theoretical Physics, University of Trondheim, N-7034 Trondheim-NTH, Norway

Received 31 January 1979; published in the issue dated 15 January 1981

A new calculational scheme for unitarizing S-matrix amplitudes in the high-energy limit is applied to a Yang-Mills theory with SU(2) symmetry.The The vector-meson-vector-meson elastic scattering amplitude is calculated through the tenth order in the coupling constant and the result agrees with the expansion of an eikonal formula in the impactdistance space, S=exp(iV). The potential V is an infinite-dimensional matrix whose entry for a given process is related to the sum of the lowest-order amplitudes for that process, with the exchanged vector mesons Reggeized. This result is explicitly unitary.

© 1981 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.23.534
DOI:
10.1103/PhysRevD.23.534
PACS:

*Permanent address: Department of Mathematics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139.

 
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