Amplitudes in pure Yang-Mills and MHV Diagrams | Zendy

Andreas Brandhuber | Zendy; Bill Spence | Zendy; Gabriele Travaglini | Zendy

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Amplitudes in pure Yang-Mills and MHV Diagrams

Author(s) -

Andreas Brandhuber,

Bill Spence,

Gabriele Travaglini

Publication year - 2007

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2007/02/088

Subject(s) - helicity , gluon , mathematical physics , scattering amplitude , physics , amplitude , holomorphic function , formalism (music) , yang–mills theory , yang–mills existence and mass gap , jacobian matrix and determinant , quantum electrodynamics , lagrangian , particle physics , gauge theory , quantum mechanics , quantum chromodynamics , mathematics , mathematical analysis , art , musical , visual arts

We show how to calculate the one-loop scattering amplitude with all gluons ofnegative helicity in non-supersymmetric Yang-Mills theory using MHV diagrams.We argue that the amplitude with all positive helicity gluons arises from aJacobian which occurs when one performs a Backlund-type holomorphic change ofvariables in the lightcone Yang-Mills Lagrangian. This also results incontributions to scattering amplitudes from violations of the equivalencetheorem. Furthermore, we discuss how the one-loop amplitudes with a singlepositive or negative helicity gluon arise in this formalism. Perturbationtheory in the new variables leads to a hybrid of MHV diagrams and lightconeYang-Mills theory.Comment: 31 pages, 4 figures. v2: references added, JHEP versio

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