Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams

By George M. Georgiou, V. Khoze. 2004

169 citations recorded by the source corpus.

It was proposed in [2] that all tree amplitudes in pure Yang-Mills theory can be constructed from known MHV amplitudes. We apply this approach for calculating tree amplitudes of gauge fields and fermions and find agreement with known results. The formalism amounts to an effective scalar perturbation theory which offers a much simpler alternative to the usual Feynman diagrams in gauge theory and can be used for deriving new simple expressions for tree amplitudes. At tree level the formalism works in a generic gauge theory, with or without supersymmetry, and for a finite number of colours.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/15ddeb67fec18345adb27ce7f59aacb5b98e78e1

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. Kasper Risager
2. R. Britto
3. Bo Feng
4. F. Cachazo
5. V. Khoze
6. E. Glover
7. Simon Badger
8. Jun-bao Wu

In Nuclear and High Energy Physics

1. Kasper Risager
2. F. Cachazo
3. R. Britto
4. Bo Feng
5. Simon Badger
6. V. Khoze
7. Peter Svrček
8. E. Glover

Citations in the corpus

• MHV vertices and fermionic scattering amplitudes in gauge theory with quarks and gluinos (2004, methodology): “In two previous works [12, 13] (for recent works, see [14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30]), by following the new approach of [3], we have computed the generic gluon googly amplitudes and discussed briefly how the CSW approach can be extended to theories with fermions”
• Recursion relations for gauge theory amplitudes with massive particles. (2005, methodology): “At tree level, new and compact results for scattering amplitudes were derived using the MHV rules [2, 8–18], and the recursion relations [3, 4, 19–23].”
• A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix (2008, unknown): “1 {a.brandhuber, p.j.heslop, g.travaglini}@qmul.ac.uk”
• Generalized unitarity and one-loop amplitudes in N=4 super-Yang-Mills (2004, methodology): “computed from Parke-Taylor formulas [20] or MHV diagrams [14, 15 ], which involve spinor”
• MHV rules for Higgs plus multi-gluon amplitudes (2004, methodology): “The CSW approach has been extended to amplitudes with fermions [5].”
• One-loop amplitudes of gluons in supersymmetric QCD (2005, methodology): “Two recent techniques allow the calculation of those amplitudes: MHV diagrams [42,43,44,45] and recursion relations [28,29].”
• A direct proof of the CSW rules (2005, methodology): “The CSW conjecture has led to several developments in tree-level calculations [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], and it was also used for some one-loop calculations in an approach developed by Brandhuber, Spence and Travaglini [19, 20, 21, 22].”
• New recursion relations for tree amplitudes of gluons (2004, background): “Much progress has been made in the past year [ 11 ].”