Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops

Details Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops

2010-11-08

arxiv.org/abs/1011.1899v2

JHEP 1101:134,2011

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 10 figures. v2: typos fixed, comments added

Scientific paper

10.1007/JHEP01(2011)134

We calculate form factors of half-BPS operators in N=4 super Yang-Mills theory at tree level and one loop using novel applications of recursion relations and unitarity. In particular, we determine the expression of the one-loop form factors with two scalars and an arbitrary number of positive-helicity gluons. These quantities resemble closely the MHV scattering amplitudes, including holomorphicity of the tree-level form factor, and the expansion in terms of two-mass easy box functions of the one-loop result. Next, we compare our result for these form factors to the calculation of a particular periodic Wilson loop at one loop, finding agreement. This suggests a novel duality relating form factors to periodic Wilson loops.

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