Oneloop derivation of the Wilson polygonMHV amplitude duality
Abstract
We discuss the origin of the Wilson polygonMHV amplitude duality at a perturbative level. It is shown that the duality for the MHV amplitudes at the oneloop level can be proven upon a particular change of variables in Feynman parametrization and with the use of the relation between Feynman integrals at different spacetime dimensions. Some generalization of the duality which implies the insertion of a particular vertex operator at the Wilson triangle is found for the 3point function. We discuss the analytical structure of Wilson loop diagrams and present the corresponding Landau equations. The geometrical interpretation of the loop diagram in terms of the hyperbolic geometry is discussed.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 September 2009
 DOI:
 10.1088/17518113/42/35/355214
 arXiv:
 arXiv:0904.0381
 Bibcode:
 2009JPhA...42I5214G
 Keywords:

 High Energy Physics  Theory
 EPrint:
 29 pages