Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-26
Nucl.Phys. B706 (2005) 150-180
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 35 pages, 3 figures. v2: remarks on gauge invariance added. Published version to appear in Nuclear Physics B
Scientific paper
10.1016/j.nuclphysb.2004.11.023
We propose a new, twistor string theory inspired formalism to calculate loop amplitudes in N=4 super Yang-Mills theory. In this approach, maximal helicity violating (MHV) tree amplitudes of N=4 super Yang-Mills are used as vertices, using an off-shell prescription introduced by Cachazo, Svrcek and Witten, and combined into effective diagrams that incorporate large numbers of conventional Feynman diagrams. As an example, we apply this formalism to the particular class of MHV one-loop scattering amplitudes with an arbitrary number of external legs in N=4 super Yang-Mills. Remarkably, our approach naturally leads to a representation of the amplitudes as dispersion integrals, which we evaluate exactly. This yields a new, simplified form for the MHV amplitudes, which is equivalent to the expressions obtained previously by Bern, Dixon, Dunbar and Kosower using the cut-constructibility approach.
Brandhuber Andreas
Spence Bill
Travaglini Gabriele
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