Complete Equivalence Between Gluon Tree Amplitudes in Twistor String Theory and in Gauge Theory

TL;DR

This paper demonstrates that gluon tree amplitudes in twistor string theory are equivalent to those in gauge theory by showing they satisfy BCFW relations and using contour integral methods with link variables.

Contribution

It establishes the complete equivalence between gluon tree amplitudes in twistor string theory and gauge theory, including new diagrammatic calculation methods.

Findings

Gluon amplitudes satisfy BCFW relations in twistor string theory.

Contour integral methods with link variables are used to compute amplitudes.

Equivalence between twistor string and gauge theory amplitudes is confirmed.

Abstract

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 they coincide with the corresponding amplitudes in gauge field theory. In this approach, the integration contours are specified as encircling the zeros of certain constraint functions that force the appropriate relation between the link variables and the twistor string world-sheet variables. To do this, methods for calculating the tree amplitudes using link variables are developed further including diagrammatic methods for organizing and performing the calculations.