# View Profile

## Publication details for Prof Valentin [Valya] Khoze

**Georgiou, G.**&

**Khoze, V. V.**(2004). Tree amplitudes in gauge theory as scalar MHV diagrams.

*Journal of High Energy Physics*

**5**: 070.

- Publication type: Journal papers: academic
- ISSN/ISBN: 1126-6708, 1029-8479
- DOI: 10.1088/1126-6708/2004/05/070
- Keywords: Duality, Gauge field rheories, Supersymmetry.
- View online: Online version
- Durham research online: DRO record

### Author(s) from Durham

### Abstract

It was proposed in hep-th/0403047 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.

### References

### 1

E. Witten, Perturbative gauge theory as a string theory in twistor space, hep-th/0312171.

### 2

F. Cachazo, P. Svrcek and E. Witten, MHV vertices and tree amplitudes in gauge theory,

hep-th/0403047.

### 3

C.-J. Zhu, The googly amplitudes in gauge theory, J. High Energy Phys. 04 (2004) 032

### hep-th/0403115

.

### 4

F.A. Berends and W.T. Giele, Recursive calculations for processes with n gluons, Nucl. Phys.

B 306 (1988) 759.

### 5

D.A. Kosower, Light cone recurrence relations for QCD amplitudes, Nucl. Phys. B 335

(1990) 23.

### 6

G. Chalmers and W. Siegel, Simplifying algebra in feynman graphs, II. Spinor helicity from

the spacecone, Phys. Rev. D 59 (1999) 045013 [hep-ph/9801220];

W. Siegel, Fields, hep-th/9912205.

### 7

R. Roiban, M. Spradlin and A. Volovich, A googly amplitude from the B-model in twistor

space, J. High Energy Phys. 04 (2004) 012 [hep-th/0402016];

R. Roiban and A. Volovich, All googly amplitudes from the b-model in twistor space,

hep-th/0402121;

R. Roiban, M. Spradlin and A. Volovich, On the tree-level S-matrix of Yang-Mills theory,

hep-th/0403190.

### 8

Work in progress.

### 9

M.L. Mangano and S.J. Parke, Multiparton amplitudes in gauge theories, Phys. Rept. 200

(1991) 301.

### 10

F.A. Berends, R. Kleiss, P. De Causmaecker, R. Gastmans and T.T. Wu, Single

bremsstrahlung processes in gauge theories, Phys. Lett. B 103 (1981) 124;

P. De Causmaecker, R. Gastmans, W. Troost and T.T. Wu, Multiple bremsstrahlung in gauge

theories at high-energies, 1. General formalism for quantum electrodynamics, Nucl. Phys. B

206 (1982) 53;

R. Kleiss and W.J. Stirling, Spinor techniques for calculating p¹p ! W§=Z0 + JETS, Nucl.

Phys. B 262 (1985) 235;

J.F. Gunion and Z. Kunszt, Improved analytic techniques for tree graph calculations and the

GGQ¹Q lepton anti-lepton subprocess, Phys. Lett. B 161 (1985) 333.

### 11

S.J. Parke and T.R. Taylor, An amplitude for n gluon scattering, Phys. Rev. Lett. 56 (1986)

2459.

### 12

L.J. Dixon, Calculating scattering amplitudes e±ciently, hep-ph/9601359.

### 13

V.P. Nair, A current algebra for some gauge theory amplitudes, Phys. Lett. B 214 (1988) 215.