Amplitudes in Pure Yang-Mills and MHV Diagrams

نویسندگان

  • Andreas Brandhuber
  • Gabriele Travaglini
چکیده

We show how to calculate the one-loop scattering amplitude with all gluons of negative helicity in non-supersymmetric Yang-Mills theory using MHV diagrams. We argue that the amplitude with all positive helicity gluons arises from a Jacobian which occurs when one performs a Bäcklund-type holomorphic change of variables in the lightcone Yang-Mills Lagrangian. This also results in contributions to scattering amplitudes from violations of the equivalence theorem. Furthermore, we discuss how the one-loop amplitudes with a single positive or negative helicity gluon arise in this formalism. Perturbation theory in the new variables leads to a hybrid of MHV diagrams and lightcone Yang-Mills theory. 1{a.brandhuber, w.j.spence, g.travaglini}@qmul.ac.uk

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تاریخ انتشار 2006