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キーワード:
High Energy Physics - Theory, hep-th
要旨:
We study the relationship between the momentum twistor MHV vertex expansion
of planar amplitudes in N=4 super-Yang-Mills and the all-loop generalization of
the BCFW recursion relations. We demonstrate explicitly in several examples
that for tree-level amplitudes and loop integrands the MHV vertex expressions
satisfy the recursion relations. Furthermore, we introduce a rewriting of the
MHV expansion in terms of sums over non-crossing partitions and show that this
cyclic invariant formula satisfies the recursion relations for all numbers of
legs and all loop orders.
