On some properties of the multi-particle amplitude expressed as a function of group-theoretical variables

Toller, M.

doi:10.1007/bf02731814

Cited by 19 publications

(4 citation statements)

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“…Here we have absorbed the factor 2J + 1 and have also introduced a signature factor, 1+e −iπJ 2 , which projects out the sum over even partial waves. Note that, for s large, with t fixed, cos z t ∼ s, thus leading to the Regge pole dominance by the leading Regge trajectory, e.g., (28) and (48).…”

Section: B Bcft Shift Dressing Factors and Large Z Limitmentioning

confidence: 99%

“…For simplicity, we have not exhibited various j-dependent factors in(48) except for the factor sin πj. The contour in j is to the right of all poles of a(j, t) and to the left of poles sin πj at positive integers.…”

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confidence: 99%

“…This corresponds to an inverse Sommefeld-Watson transform. This version of Regge hypothesis was first advocated by M. Toller in late 1960's,[46,47,48]…”

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confidence: 99%

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BCFW Deformation and Regge Limit

Fu,

Lee,

Tan

et al. 2013

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BCFW deformation has served as an extremely useful tool in providing a recursive approach in studying color-ordered gauge amplitudes. This procedure has also been generalized to the study of graviton scattering. An important ingredient of this approach is the ability to identify amplitudes satisfying convergent dispersion relation when the BCFW parameter, z, is treated as a complex variable. In a modified BCFW treatment, we show in what sense the BCFW deformation in the large-z limit can be understood as the Regge limit. We also discuss how the issue of convergent dispersion integral for amplitudes involving external spins relates to the study of super-convergence relation which served as the precursor to the s-t duality relation for flat space string amplitudes.

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Section: B Bcft Shift Dressing Factors and Large Z Limitmentioning

confidence: 99%

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BCFW Deformation and Regge Limit

Fu,

Lee,

Tan

et al. 2013

Preprint

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“…are left unchanged by transformation(2.12). c(3)(4)(5) (3.6) and .Expressed in terms of the parameterization (2.13), Eqs. (3.5) and(3• 6) assume the form .…”

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confidence: 99%