Multi-Regge form of gluon-exchange amplitudes in supersymmetric Yang-Mills theories

Kozlov, Mikhail; Резниченко, А. В.; Fadin, V. S.

doi:10.1134/s1063778814020112

Cited by 7 publications

(38 citation statements)

References 39 publications

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“…On the other hand, all bootstrap relations are fulfilled if several conditions imposed on the Reggeon vertices and the trajectory (bootstrap conditions) hold true. Fulfilment of all these conditions is proved now (see [3] and references therein) not only in Quantum Chromodynamics (QCD), but in Yang-Mills theories containing fermions and scalars in arbitrary representations of the colour group with any Yukawa-type interaction.…”

Section: Proof Of the Multi-regge Formmentioning

confidence: 99%

Discontinuities of multi-Regge amplitudes

Fadin

2015

AIP Conference Proceedings

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Abstract. In the BFKL approach, discontinuities of multiple production amplitudes in invariant masses of produced particles are discussed. It turns out that they are in evident contradiction with the BDS ansatz for n-gluon amplitudes in the planar N=4 SYM at n ≥ 6. An explicit expression for the NLO discontinuity of the two-to-four amplitude in the invariant mass of two produced gluons is is presented.

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Section: Proof Of the Multi-regge Formmentioning

confidence: 99%

Discontinuities of multi-Regge amplitudes

Fadin

2015

AIP Conference Proceedings

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“…For the vertex of the scalar pair {S(l 1 ),S(l 2 )} production by the gluon G(k) [42] we have in (3.22) A…”

Section: Scattering Verticesmentioning

confidence: 99%

“…[34,[40][41][42] for the one-loop gluon, quark and scalar corrections correspondingly, we obtain for the gluon-gluon-Reggeon vertex Γ…”

Section: Scattering Verticesmentioning

confidence: 99%

“…As well as for the quark vertex, we don't present it here in the general case, because we don't need its explicit form. In SYM we have [42] …”

Section: Scattering Verticesmentioning

confidence: 99%

“…The scalar-scalar-Reggeon vertex Γ R S ′ r ′ Sr was calculated in [42] in SYM by the method developed in [44]. The calculations can be easily extended to any representation of the colour group with the result…”

Section: Scattering Verticesmentioning

confidence: 99%

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Gluon Reggeization in Yang-Mills theories

2015

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The proof of the multi-Regge form of multiple production amplitudes in the next-toleading logarithmic approximation is presented for Yang-Mills theories with fermions and scalars in any representations of the colour group and with any Yukawa-type interaction. Explicit expressions for the Reggeized gauge boson trajectory, the Reggeon vertices and the impact factors are given. Fulfilment of the bootstrap conditions is proved. *

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Discontinuities of BFKL amplitudes and the BDS ansatz

Fadin

Fiore

2015

Nuclear Physics B

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We perform an examination of discontinuities of multiple production amplitudes, which are required for further development of the BFKL approach. It turns out that the discontinuities of 2 → 2 + n amplitudes obtained in the BFKL approach contradict to the BDS ansatz for amplitudes with maximal helicity violation in N = 4 supersymmetric Yang-Mills theory with large number of colours starting with n = 2. Explicit expressions for the discontinuities of the 2 → 3 and 2 → 4 amplitudes in the invariant mass of pairs of produced gluons are obtained in the planar N=4 SYM in the next-to-leading logarithmic approximation. These expressions can be used for checking the conjectured duality between the light-like Wilson loops and the MHV amplitudes.

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Multi-Regge form of gluon-exchange amplitudes in supersymmetric Yang-Mills theories

Cited by 7 publications

References 39 publications

Discontinuities of multi-Regge amplitudes

Discontinuities of multi-Regge amplitudes

Gluon Reggeization in Yang-Mills theories

Discontinuities of BFKL amplitudes and the BDS ansatz

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