114 citations · 596 across the 19 of their papers we have counts for
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Off-Shell CHY Amplitudes and Feynman Graphs
Louise Dolan, Peter Goddard
A polynomial form is established for the off-shell CHY scattering equations proposed by Lam and Yao. Re-expressing this in terms of independent Mandelstam invariants provides a new…
General Solution of the Scattering Equations
Louise Dolan, Peter Goddard
The scattering equations, originally introduced by Fairlie and Roberts in 1972 and more recently shown by Cachazo, He and Yuan to provide a kinematic basis for describing tree ampl…
The Polynomial Form of the Scattering Equations
Louise Dolan, Peter Goddard
The scattering equations, recently proposed by Cachazo, He and Yuan as providing a kinematic basis for describing tree amplitudes for massless particles in arbitrary space-time dim…
Proof of the Formula of Cachazo, He and Yuan for Yang-Mills Tree Amplitudes in Arbitrary Dimension
Louise Dolan, Peter Goddard
A proof is given of the formula, recently proposed by Cachazo, He and Yuan (CHY) for gluon tree amplitudes in pure Yang-Mills theory in arbitrary dimension. The approach is to firs…
Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory
Louise Dolan, Peter Goddard
The gluon tree amplitudes of open twistor string theory, defined as contour integrals over the ACCK link variables, are shown to satisfy the BCFW relations, thus confirming that th…
Gluon Tree Amplitudes in Open Twistor String Theory
Louise Dolan, Peter Goddard
We show how the link variables of Arkani-Hamed, Cachazo, Cheung and Kaplan (ACCK), can be used to compute general gluon tree amplitudes in the twistor string. They arise from insta…
Current Algebra on the Torus
Louise Dolan, Peter Goddard
We derive the N-point one-loop correlation functions for the currents of an arbitrary affine Kac-Moody algebra. The one-loop amplitudes, which are elliptic functions defined on the…
Tree and Loop Amplitudes in Open Twistor String Theory
Louise Dolan, Peter Goddard
We compute the one-loop gluon amplitude for the open twistor string model of Berkovits, using a symmetric form of the vertex operators. We discuss the classical solutions in variou…
Axiomatic Conformal Field Theory
Matthias R Gaberdiel, Peter Goddard
A new rigorous approach to conformal field theory is presented. The basic objects are families of complex-valued amplitudes, which define a meromorphic conformal field theory (or c…
Conformal Field Theories, Representations and Lattice Constructions
L. Dolan, P. Goddard, P. Montague
An account is given of the structure and representations of chiral bosonic meromorphic conformal field theories (CFT's), and, in particular, the conditions under which such a CFT m…
Quantisation of a particle moving on a group manifold
Meifang Chu, Peter Goddard
The Hilbert space of a free massless particle moving on a group manifold is studied in details using canonical quantisation. While the simplest model is invariant under a global sy…