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Uniqueness from locality and BCFW shifts

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arxiv 1612.03885 v3 pith:DQA4KYKJ submitted 2016-12-12 hep-th

Laurentiu Rodina This is my paper
classification hep-th
keywords localityamplitudebcfwshiftstree-levelyang-millsarxivasymptotic
verification ladder T0 review T1 audit T2 compute T3 formal
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We introduce a BCFW shift which can be used to recursively build the full Yang-Mills tree-level amplitude as a function of polarization vectors. Furthermore, in line with the recent results of arXiv:1612.02797, we conjecture that the Yang-Mills tree-level scattering amplitude is uniquely fixed by locality and demanding the usual asymptotic behavior under a sufficient number of shifts. Unitarity therefore emerges from locality and constructability. We prove this statement at the leading order in the soft expansion.

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  1. Uniqueness and Analytic Structures of Bosonic String Effective Amplitudes

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    Gauge invariance, locality, and cyclicity uniquely fix dimension-raising operators for zero-transcendentality bosonic string amplitudes, yielding recursive construction from Yang-Mills and factorization via inverse op...

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