# Gauge Theory Amplitudes, Scalar Graphs and Twistor Space

@article{Khoze2004GaugeTA, title={Gauge Theory Amplitudes, Scalar Graphs and Twistor Space}, author={Valentin V. Khoze}, journal={arXiv: High Energy Physics - Theory}, year={2004} }

We discuss a remarkable new approach initiated by Cachazo, Svrcek and Witten for calculating gauge theory amplitudes. The formalism amounts to an effective scalar perturbation theory which in many cases offers a much simpler alternative to the usual Feynman diagrams for deriving $n$-point amplitudes in gauge theory. At tree level the formalism works in a generic gauge theory, with or without supersymmetry, and for a finite number of colours. There is also a growing evidence that the formalism…

## 35 Citations

### Lectures on Twistor Strings and Perturbative Yang-Mills Theory

- Physics
- 2005

Recently, Witten proposed a topological string theory in twistor space that is dual to a weakly coupled gauge theory. In this lectures we will discuss aspects of the twistor string theory. Along the…

### Marginal deformations of tree‐level 𝒩 = 4 SYM from twistor string theory

- Physics
- 2006

The topological B–model with target the supertwistor space ℂP3|4 is known to describe perturbative amplitudes of 𝒩 = 4 Super Yang–Mills theory. We review the extension of this correspondence to the…

### Marginal Deformations of Tree – Level N = 4 SYM from Twistor String Theory

- Physics
- 2008

The topological B–model with target the supertwistor space | CP is known to describe perturbative amplitudes of N = 4 Super Yang–Mills theory. We review the extension of this correspondence to the…

### On hidden symmetries of a super gauge theory and twistor string theory

- Mathematics
- 2005

We discuss infinite-dimensional hidden symmetry algebras (and hence an infinite number of conserved nonlocal charges) of the -extented self-dual super Yang-Mills equations for general ≤ 4 by using…

### Recursion relations for gauge theory amplitudes with massive vector bosons and fermions

- Physics
- 2006

We apply the on-shell tree-level recursion relations of Britto, Cachazo, Feng and Witten to a variety of processes involving internal and external massive particles with spin. We show how to…

### Recursion relations for tree amplitudes in super gauge theories

- Physics
- 2005

Using newly proposed recursion relations in [25], [26], compact formulas are obtained for tree-level amplitudes of g1−g2−g3−g4+g5+...gn+. We then make an extension of these recursion relations to…

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- Physics
- 2004

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…

### MHV vertices and scattering amplitudes in gauge theory

- Physics
- 2004

The generic googly amplitudes in gauge theory are computed by using the Cachazo-Svrcek-Witten approach to perturbative calculation in gauge theory and the results are in agreement with the previously…

### Perturbative Gauge Theory as a String Theory in Twistor Space

- Mathematics, Physics
- 2003

Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we Fourier…

### Twistor-space recursive formulation of gauge-theory amplitudes

- Mathematics
- 2005

Using twistor-space intuition, Cachazo, Svrcek and Witten presented novel diagrammatic rules for gauge-theory amplitudes, expressed in terms of maximally helicity-violating (MHV) vertices. We define…

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- 2004

In a recent paper, Witten proposed a surprising connection between perturbative gauge theory and a certain topological model in twistor space. In particular, he showed that gluon amplitudes are…

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- 2004

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory,…