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The multi-Regge limit from the Wilson loop OPE. (English) Zbl 1437.81087

Summary: The finite remainder function for planar, color-ordered, maximally helicity violating scattering processes in \(\mathcal{N} = 4\) super Yang-Mills theory possesses a non-vanishing multi-Regge limit that depends on the choice of a Mandelstam region. We analyze the combined multi-Regge collinear limit in all Mandelstam regions through an analytic continuation of the Wilson loop OPE. At leading order, the former is determined by the gluon excitation of the Gubser-Klebanov-Polyakov string. We illustrate the general procedure at the example of the heptagon remainder function at two loops. In this case, the continuation of the leading order terms in the Wilson loop OPE suffices to determine the two-loop multi-Regge heptagon functions in all Mandelstam regions from their symbols. The expressions we obtain are fully consistent with recent results by V. Del Duca et al. [J. High Energy Phys. 2016, No. 8, Paper No. 152, 104 p. (2016; Zbl 1390.81627)].

MSC:

81T60 Supersymmetric field theories in quantum mechanics
81R12 Groups and algebras in quantum theory and relations with integrable systems
81U05 \(2\)-body potential quantum scattering theory
70S15 Yang-Mills and other gauge theories in mechanics of particles and systems
83C27 Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory

Citations:

Zbl 1390.81627
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References:

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